Painlev, analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form

被引：55

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

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

来源：

NONLINEAR DYNAMICS | 2018年 / 91卷 / 02期

关键词：

Modified CBS equation; Negative-order modified CBS equation; Recursion operator; Painleve analysis; Kinks; Peakons; Cuspons; PARTIAL-DIFFERENTIAL-EQUATIONS; RECURSION OPERATORS; EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; MULTIPLE-SOLITON; WAVE SOLUTIONS; SYMMETRIES; NONLINEARITIES;

D O I：

10.1007/s11071-017-3916-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new integrable equation is constructed by combining the recursion operator of the modified Calogero-Bogoyavlenskii-Schiff equation and its inverse recursion operator. The Painlev, is performed to demonstrate the complete integrability of the newly developed equation. Multiple-soliton solutions are depicted as manifestation of the integrability. We further show that this equation enjoys a variety of soliton solutions that include kinks, peakon, cuspon.

引用

页码：877 / 883

页数：7

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