排序方式: 共有4条查询结果,搜索用时 15 毫秒
1
1.
Construction of doubly-periodic solutions to nonlinear partial differential equations using improved Jacobi elliptic function expansion method and symbolic computation 总被引:2,自引:0,他引:2 下载免费PDF全文
Some doubly-periodic solutions of the Zakharov--Kuznetsov equation are
presented.
Our approach is
to introduce an auxiliary ordinary differential equation and use its Jacobi elliptic function
solutions to construct doubly-periodic solutions of the Zakharov--Kuznetsov
equation, which has been derived by Gottwald as a two-dimensional model for
nonlinear Rossby waves. When the modulus k \rightarrow 1, these solutions reduce
to the solitary wave solutions of the equation. 相似文献
2.
Based on the computerized symbolic, a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES) in a unified way. The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions. At the same time, we present a more general transformation, which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations (NLEEs). More new exact travelling wave solutions to two nonlinear systems are explicitly obtained. 相似文献
3.
4.
1