Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation

被引：63

作者：

Benoudina, Nardjess ^{[1
]}

Zhang, Yi ^{[1
]}

Khalique, Chaudry Masood ^{[2
,3
,4
]}

机构：

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

[2] North West Univ, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[4] Azerbaijan Univ, Dept Math & Informat, Jeyhun Hajibeyli Str 71, AZ-1007 Baku, Azerbaijan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 94卷

基金：

中国国家自然科学基金;

关键词：

Pavlov equation; Lie symmetry analysis; Optimal system; Solitary wave solutions; Conservation laws; NONLOCALITY; REDUCTIONS;

D O I：

10.1016/j.cnsns.2020.105560

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an interaction of two-soliton solutions, interactions of the kink with other types of solitary wave solutions of Pavlov equation are constructed via Lie symmetry analysis. The optimal system based on one-dimensional subalgebras of Pavlov equation is computed and used to determine a group of invariant solutions. Furthermore, the Pavlov equation is reduced, with the help of Lie group method, to new differential equations with less number of variables in order to solve it analytically. This study leads us to fourteen exact solutions in general and special forms. Through an ansatz in the choice of the arbitrary functions obtained in the new invariant solutions, we construct physically meaningful solutions and illustrate them graphically. Moreover, conservation laws are obtained for the Pavlov equation by invoking the multiplier method. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：18

共 42 条

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