Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions

被引：79

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期

关键词：

Fourth-order integrable equation; Painleve test; Multiple soliton solutions; Multiple complex soliton solutions; WAVE SOLUTIONS;

D O I：

10.1007/s11071-018-4515-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we develop two new fourth-order integrable equations represented by nonlinear PDEs of second-order derivative in time t. The new equations model both right- and left-going waves in a like manner to the Boussinesq equation. We will employ the Painleve analysis to formally show the complete integrability of each equation. The simplified Hirota's method is used to derive multiple soliton solutions for this equation. We introduce a complex form of the simplified Hirota's method to develop multiple complex soliton solutions. More exact traveling wave solutions for each equation will be derived as well.

引用

页码：2655 / 2663

页数：9

共 23 条

[1] A symbolic algorithm for computing recursion operators of nonlinear partial differential equations [J].