Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws

被引：10

作者：

Muatjetjeja, Ben ^{[1
]}

Porogo, Ofentse P. ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Mafikeng Campus,Private Bag X 2046, Mmabatho 2735, South Korea

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期

关键词：

Lagrangian; Noether operators; Conservation laws; Generalized double reduction; Exact solutions; NONLINEAR EVOLUTION-EQUATIONS; INVERSE SPECTRAL TRANSFORM; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; SYMMETRIES;

D O I：

10.1007/s11071-017-3463-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We construct conservation laws for the (2+1)-dimensional breaking soliton equation. Thereafter, we employ the definition of the association of symmetries with conservation laws to obtain exact solutions for the (2+1)-dimensional breaking soliton equation via the generalized double reduction theorem.

引用

页码：443 / 451

页数：9

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