Kadomtsev-Petviashvili方程的行波解  

Traveling wave solutions of Kadomtsev-Petviashvili equation

作　　者：潘俊蓬 聂大勇[2] PAN Junpeng;NIE Dayong(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China;Department of Science&Technology,Yellow River Conservancy Technical Institute,Kaifeng 475004,China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046 [2]黄河水利职业技术学院科技处,河南开封475004

出　　处：《高师理科学刊》2023年第2期1-5,19,共6页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金面上项目(11871212);河南省高等职业学校青年骨干教师培养计划项目(2020GZGG109);河南省高等学校重点科研项目(23B110016)。

摘　　要：通过选取变系数Bernoulli方程作为辅助方程,根据齐次平衡原则研究Kadomtsev-Petviashvili方程,得到了方程一类新的精确行波解.同时,利用试探函数法得到该方程的另一个行波解.By selecting the Bernoulli equation with variable coefficients as the auxiliary equation, the Kadomtsev-Petviashvili equation is studied according to the principle of homogeneous equilibrium,and a new class of exact traveling wave solutions of the equation are obtained.At the same time,another traveling wave solution of the equation is obtained by trial function method.

关 键 词：KADOMTSEV-PETVIASHVILI方程 齐次平衡原则 变系数辅助方程法 试探函数法 行波解 

分 类 号：O175.2[理学—数学]