2) exact solitary wave solution
精确孤波解
1.
Based on a trial function method,by using two direct algebraic methods composed of hyperbolic function and triangle function,the exact solitary wave solutions and triangle function wave solutions to the nonlinear difference differential mKdV equation and Hybrid-lattice system are constructed with the help of Mathematica for the symbolic computation system.
在试探函数法的基础上利用双曲函数和三角函数所组成的两种直接代数法,并借助符号计算系统Mathematica构造了非线性差分微分mKdV方程和Hybrid-lattice系统的精确孤波解和三角函数波解。
3) exact solitary wave solutions
精确孤波解
1.
New exact solitary wave solutions for a class of nonlinear wave equations;
一类非线性方程新的精确孤波解
2.
New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation;
双曲函数型辅助方程构造具5次强非线性项的波方程的新精确孤波解
3.
The Jacobi elliptic function exact solutions to the regular long wave equation and the mKdV equation as well as the degenerated exact solitary wave solutions are constructed with the help of symbolic computation system Mathematica.
在双曲正切函数法、齐次平衡法和辅助方程法的基础上,给出一种双曲函数型辅助方程和函数变换相结合的方法,利用符号计算系统Mathematica构造了正规长波方程和mKdV方程的Jacobi椭圆函数精确解及其退化后的精确孤波解。
4) the exact isolated wave solution
精确孤波解
1.
In this paper,some methods of solving the exact isolated wave solution of nonlinear evolution equation with higher-dim ension were developed and the exactisolated wave solutions of Kundu equation and PC equation with higher-dim ension were given.
本文讨论了求解几类高维非线性发展精确孤波解的方法 ,给出了高维 Kundu方程和 PC方程的精确孤波
5) Exact solilary solutions
孤波精确解
6) exact traveling wave solution
精确行波解
1.
In this work,2D cubic-quintic Ginzburg-Landau equation with diffractive-diffusive terms and normal dispersion is considered,some new exact traveling wave solution are obtained successfully by using identical reforming of differential equation method combine with a new auxiliary equation method.
利用同解变型法并结合一个高阶辅助方程的解,成功地取得了该方程的一些新的精确行波解。
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