五階KdV方程

五階KdV方程(Fifth order KdV equation)是一個非線性偏微分方程，簡稱fKdV方程： $u_{t}+\alpha *u^{2}*u_{x}+\beta *u_{x}*u_{xx}+\gamma *u*u_{xxx}+\delta *u_{xxxxx}=0$

解析解

$u(x,t)=6*_{C}3^{2}*(-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\gamma ^{2}/\alpha +(60*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\delta -72*\delta *\gamma ^{2}+720*\delta ^{2}*\alpha -120*\delta *\beta ^{2})*JacobiND(_{C}2+_{C}3*x-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*_{C}3^{5}*t/\alpha ,{\sqrt {(}}2))^{2}/(\beta *(6*\beta ^{2}-120*\delta *\alpha +12*\gamma ^{2}+12*\beta *\gamma +6*{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))$

$u(x,t)=6*_{C}3^{2}*(-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\gamma ^{2}/\alpha +(60*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\delta -72*\delta *\gamma ^{2}+720*\delta ^{2}*\alpha -120*\delta *\beta ^{2})*JacobiNS(_{C}2+_{C}3*x-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*_{C}3^{5}*t/\alpha ,I)^{2}/(\beta *(6*\beta ^{2}-120*\delta *\alpha +12*\gamma ^{2}+12*\beta *\gamma +6*{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))$

$u(x,t)=-3*_{C}3^{2}*(-(3/2)*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2}))*\gamma ^{2}/\alpha +(15*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\delta -18*\delta *\gamma ^{2}+180*\delta ^{2}*\alpha -30*\delta *\beta ^{2})*JacobiCN(_{C}2+_{C}3*x-(3/2)*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma -{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2}))*_{C}3^{5}*t/\alpha ,(1/2)*{\sqrt {(}}2))^{2}/(\beta *((3/2)*\beta ^{2}-30*\delta *\alpha +3*\gamma ^{2}+3*\beta *\gamma +(3/2)*{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))$

$u(x,t)=-6*_{C}3^{2}*(-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma +{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\gamma ^{2}/\alpha +(60*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma +{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*\delta -72*\delta *\gamma ^{2}+720*\delta ^{2}*\alpha -120*\delta *\beta ^{2})*JacobiDN(_{C}2+_{C}3*x-(6*(-12*\delta *\alpha +\beta ^{2}+2*\beta *\gamma +{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))*_{C}3^{5}*t/\alpha ,{\sqrt {(}}2))^{2}/(\beta *(6*\beta ^{2}-120*\delta *\alpha +12*\gamma ^{2}+12*\beta *\gamma -6*{\sqrt {(}}-40*\delta *\alpha *\beta ^{2}+\beta ^{4}+4*\beta ^{3}*\gamma +4*\beta ^{2}*\gamma ^{2})))$

解析失败 (转换错误。服务器（“https://wikimedia.org/api/rest_”）报告：“Cannot get mml. upstream connect error or disconnect/reset before headers. reset reason: connection termination”): {\displaystyle u(x,t)=_{C}5-(3*(-4*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\beta ^{2}*_{C}5^{2}-8*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\gamma ^{2}*_{C}5^{2}-(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\beta *_{C}5^{3}*\alpha -(3/2)*\gamma *(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{3}*\alpha +(1/4)*\gamma *(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{3}*\beta ^{2}/\delta +(2/5)*\gamma ^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{3}*\beta /\delta -\beta ^{2}*_{C}5^{4}*\alpha +4800*_{C}3^{6}*\beta *\delta ^{2}*_{C}5-160*_{C}3^{4}*\beta ^{2}*_{C}5^{2}*\delta -800*\delta ^{2}*\alpha *_{C}3^{4}*_{C}5^{2}+16*\gamma ^{2}*_{C}5^{3}*\beta *_{C}3^{2}-320*\gamma ^{2}*_{C}3^{4}*_{C}5^{2}*\delta +7200*\gamma *_{C}3^{6}*\delta ^{2}*_{C}5+10*\gamma *\beta ^{2}*_{C}5^{3}*_{C}3^{2}-3*\gamma *_{C}5^{4}*\beta *\alpha -48000*_{C}3^{8}*\delta ^{3}+2*\beta ^{3}*_{C}5^{3}*_{C}3^{2}+8*\gamma ^{3}*_{C}5^{3}*_{C}3^{2}-2*\gamma ^{2}*_{C}5^{4}*\alpha +10*_{C}5^{4}*\delta *\alpha ^{2}+20*\gamma *_{C}5^{3}*\delta *\alpha *_{C}3^{2}-480*\gamma *_{C}3^{4}*_{C}5^{2}*\beta *\delta -12*\gamma *_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}*\beta +40*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\alpha *_{C}5^{2}+120*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\gamma *_{C}5+120*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\beta *_{C}5-1200*_{C}3^{6}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta ^{2}+40*_{C}5^{3}*\delta *\alpha *\beta *_{C}3^{2}+(1/20)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\beta ^{3}*_{C}5^{3}/\delta +(1/5)*\gamma ^{3}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{3}/\delta ))*JacobiSN(_{C}2+_{C}3*x+(1/25)*_{C}3*(3*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5*\beta *\gamma +45*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *_{C}5*\alpha +(1/2*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2})))*\alpha *_{C}5^{2}*\beta -150*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\beta -9*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\gamma ^{2}*_{C}5-(9/4*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2})))*\gamma *\alpha *_{C}5^{2}+90*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\gamma +(1/20)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}*\beta *\gamma ^{2}/\delta -(1/20)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}*\beta ^{2}*\gamma /\delta +(3/10)*\gamma ^{3}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}/\delta +420*_{C}3^{4}*\delta *_{C}5*\beta *\gamma +3600*_{C}3^{6}*\delta ^{2}*\gamma +300*_{C}3^{4}*\delta *_{C}5*\beta ^{2}-6000*_{C}3^{6}*\delta ^{2}*\beta +2*_{C}5^{2}*\beta *\gamma ^{2}*_{C}3^{2}-2*_{C}5^{2}*\beta ^{2}*\gamma *_{C}3^{2}+_{C}5^{3}*\beta *\gamma *\alpha -130*_{C}5^{2}*\delta *\alpha *\beta *_{C}3^{2}+15*_{C}5^{3}*\delta *\alpha ^{2}+12*\gamma ^{3}*_{C}5^{2}*_{C}3^{2}-3*\gamma ^{2}*_{C}5^{3}*\alpha -360*_{C}3^{4}*\gamma ^{2}*\delta *_{C}5)*t/(\delta *(-\alpha *_{C}5+2*\gamma *_{C}3^{2}+(1/20)*\gamma *(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))/\delta )),(1/20)*{\sqrt {(}}10)*{\sqrt {(}}(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))/\delta )/_{C}3)^{2}/(60*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\beta -6*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\gamma ^{2}*_{C}5+60*_{C}3^{4}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *\gamma -3*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5*\beta ^{2}-(3/2*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2})))*\gamma *\alpha *_{C}5^{2}-(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\alpha *_{C}5^{2}*\beta +(1/20)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\beta ^{3}*_{C}5^{2}/\delta -120*_{C}3^{4}*\delta *_{C}5*\beta ^{2}+10*_{C}5^{2}*\beta ^{2}*\gamma *_{C}3^{2}+16*_{C}5^{2}*\beta *\gamma ^{2}*_{C}3^{2}-240*_{C}3^{4}*\gamma ^{2}*\delta *_{C}5-3*_{C}5^{3}*\beta *\gamma *\alpha -\beta ^{2}*_{C}5^{3}*\alpha +2400*_{C}3^{6}*\delta ^{2}*\beta +2400*_{C}3^{6}*\delta ^{2}*\gamma +10*_{C}5^{3}*\delta *\alpha ^{2}+8*\gamma ^{3}*_{C}5^{2}*_{C}3^{2}-2*\gamma ^{2}*_{C}5^{3}*\alpha +2*\beta ^{3}*_{C}5^{2}*_{C}3^{2}-360*_{C}3^{4}*\delta *_{C}5*\beta *\gamma +20*_{C}5^{2}*\delta *\alpha *\beta *_{C}3^{2}+(2/5)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}*\beta *\gamma ^{2}/\delta +(1/4)*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}*\beta ^{2}*\gamma /\delta -9*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5*\beta *\gamma +30*_{C}3^{2}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*\delta *_{C}5*\alpha +(1/5)*\gamma ^{3}*(2*\gamma *_{C}5+_{C}5*\beta -40*\delta *_{C}3^{2}+{\sqrt {(}}4*\gamma ^{2}*_{C}5^{2}+4*\gamma *_{C}5^{2}*\beta +_{C}5^{2}*\beta ^{2}-40*\delta *\alpha *_{C}5^{2}))*_{C}5^{2}/\delta )}

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行波圖

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

General Fifth order KdV equation traveling wave plot

參考文獻

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10. Saber Elaydi,An Introduction to Difference Equationns, Springer 2000
11. Dongming Wang, Elimination Practice,Imperial College Press 2004
12. David Betounes, Partial Differential Equations for Computational Science: With Maple and Vector Analysis Springer, 1998 ISBN 9780387983004
13. George Articolo Partial Differential Equations & Boundary Value Problems with Maple V Academic Press 1998 ISBN 9780120644759