Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation

被引：20

作者：

Baleanu, Dumitru ^{[1
,2
]}

Inc, Mustafa ^{[3
]}

Yusuf, Abdullahi ^{[3
]}

Aliyu, Aliyu Isa ^{[3
]}

机构：

[1] Cankaya Univ, Dept Math, TR-1406530 Ankara, Turkey

[2] Inst Space Sci, Bucharest, Romania

[3] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

来源：

OPEN PHYSICS | 2018年 / 16卷 / 01期

关键词：

GSWW; optimal system; Cls; infinitesimal generators; NSA; ORBITAL ANGULAR-MOMENTUM; SOLITON-SOLUTIONS; SYMMETRY;

D O I：

10.1515/phys-2018-0049

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls). Some reduction and a new exact solution are obtained from known solutions to one dimensional optimal systems. Some of the solutions obtained involve expressions with Bessel function and Airy function [1-3]. The GSWW is a nonlinear self-adjoint (NSA) with the suitable differential substitution, Cls are constructed using the new conservation theorem.

引用

页码：364 / 370

页数：7

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