Wronskian and linear superposition solutions to generalized KP and BKP equations

被引：13

作者：

Cheng, Li ^{[1
]}

Zhang, Yi ^{[2
]}

机构：

[1] Jinhua Polytech, Normal Sch, Jinhua 321007, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 90卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized Hirota bilinear equation; Wronskian determinant; KP hierarchy; Linear superposition principle; KADOMTSEV-PETVIASHVILI EQUATION; HIROTA BILINEAR EQUATION; JIMBO-MIWA EQUATION; RATIONAL SOLUTIONS; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; COMPLEXITON SOLUTIONS; BOUSSINESQ EQUATION; LUMP SOLUTIONS; WAVES;

D O I：

10.1007/s11071-017-3666-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We aim to find exact solutions to some generalized KP- and BKP-type equations by the Wronskian technique and the linear superposition principle. By applying Wronskian identities of the bilinear KP hierarchy, three Wronskian formulations are first furnished, with all generating functions for matrix entries satisfying a system of combined linear partial differential equations. Second, we apply the linear superposition principle to exponential traveling wave solutions of the introduced generalized KP and BKP equations. Each exponential wave in the Wronskian and N-wave solutions satisfies the corresponding nonlinear dispersion relation.

引用

页码：355 / 362

页数：8

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