廣義耦合KdV方程組(Generalized coupled KdV equations)是一個三元非線性偏微分方程組:[1]
解析解[編輯]
![{\displaystyle v(x,t)=-5.000000000*10^{9}*_{C}8/{\sqrt {(}}-3.3333333333333333333*10^{1}9*_{C}4*_{C}3)-1.0000000000000000000*10^{(}-10)*{\sqrt {(}}-3.3333333333333333333*10^{1}9*_{C}4*_{C}3)*JacobiCN(_{C}2+_{C}3*x+_{C}4*t,.70710678118654752440),}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8e2af7395381957735aca8bf626946072b93fae6)
![{\displaystyle w(x,t)=_{C}7+_{C}8*JacobiCN(_{C}2+_{C}3*x+_{C}4*t,.70710678118654752440)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c9db9043070007039305e97984a263ac3b3527b7)
![{\displaystyle w(x,t)=_{C}7+_{C}8*JacobiCN(_{C}2+_{C}3*x+_{C}4*t,.70710678118654752440)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c9db9043070007039305e97984a263ac3b3527b7)
![{\displaystyle w(x,t)=_{C}6+_{C}7*WeierstrassP(_{C}3+_{C}4*x+_{C}5*t,0.,_{C}1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/049813ea815931a8fa7409a6d3fe45959e2e86d7)
![{\displaystyle w(x,t)=_{C}4+_{C}5*tan(_{C}1+_{C}2*x+_{C}3*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e62a1b2b9381cec7660b20945da3f384eaee1bbe)
![{\displaystyle w(x,t)=_{C}4+_{C}5*coth(_{C}1+_{C}2*x+_{C}3*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d2c8ea08ec0639d47690df6aa8e3aa77a6b5dee6)
![{\displaystyle w(x,t)=_{C}4+_{C}5*tanh(_{C}1+_{C}2*x+_{C}3*t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/15b6d759794623f27e14da69240abd02fb5f9392)
![{\displaystyle w(x,t)=_{C}5+_{C}6*JacobiDN(_{C}2+_{C}3*x+_{C}4*t,_{C}1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3b6c30a5b0772599e29cebd8452f651cb96f890a)
![{\displaystyle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/df4dcd61276328f7c7ec5bdc399b6e11114a2c68)
行波圖[編輯]
參考文獻[編輯]
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