Exact Solutions with Arbitrary Functions of Kadomtsev-Petviashvili Equation

机译：Kadomtsev-Petviashvili方程具有任意函数的精确解

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A generalized auxiliary equation method with symbolic computation is used to obtain more general exact solutions of the (3+1)-dimensional KadomtsevPetviashvili equation. As a result, exact nontravelling wave solutions with three arbitrary functions are obtained. These arbitrary functions provide enough freedom to discuss the behaviors of solutions. As an illustrative example, a new spatial structure of one solution is shown by setting the arbitrary functions as different Jacobi elliptic functions.

机译：使用带有符号计算的广义辅助方程方法来获得（3 + 1）维KadomtsevPetviashvili方程的更通用的精确解。结果，获得具有三个任意函数的精确非行波解。这些任意函数提供了足够的自由来讨论解决方案的行为。作为说明性示例，通过将任意函数设置为不同的Jacobi椭圆函数，显示了一种解决方案的新空间结构。

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《IEEE international conference on computer science and information technology》|2011年|41-44|共4页
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作者
Sheng Zhang; Qun Gao; Qian-An Zong; Dong Liu;
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正文语种
中图分类计算技术、计算机技术;
关键词
Auxiliary equation method; Kadomtsev Petviashvili equation; Jacobi elliptic function; Non-travelling wave solution;

机译：辅助方程法; Kadomtsev Petviashvili方程; Jacobi椭圆函数;非行波解决方案;

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1. On the dispersionless Kadomtsev-Petviashvili equation with arbitrary nonlinearity and dimensionality: exact solutions, longtime asymptotics of the Cauchy problem, wave breaking and shocks [J] . Santucci F., Santini P. M. Journal of physics, A. Mathematical and theoretical . 2016,第40期

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2. Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2+1)-dimensional Konopelchenko-Dubrovsky equations [J] . Zhang S Applied mathematics and computation . 2010,第5期

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Exact Solutions with Arbitrary Functions of Kadomtsev-Petviashvili Equation

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