ANALYSIS OF (1+n)-DIMENSIONAL GENERALIZED CAMASSA-HOLM KADOMTSEV-PETVIASHVILI EQUATION THROUGH LIE SYMMETRIES, NONLINEAR SELF-ADJOINT CLASSIFICATION AND TRAVELLING WAVE SOLUTIONS

被引：6

作者：

Hussain, Amjad ^{[1
]}

Jhangeer, Adil ^{[2
]}

Zia, Muhammad khubaib ^{[1
]}

Khan, Ilyas ^{[3
]}

Ganie, Abdul hamid ^{[4
]}

Eldin, Sayed m. ^{[5
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

[2] Namal Inst, Dept Math, 30 Km Talagang Rd, Mianwali 42250, Pakistan

[3] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, POB 66, Al Majmaah 11952, Saudi Arabia

[4] Saudi Elect Univ Abha, Coll Sci & Theoret Studies, Basic Sci Dept, Abha 61421, Saudi Arabia

[5] Future Univ Egypt, Fac Engn, Ctr Res, New Cairo 11835, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 10期

关键词：

Generalized Camassa-Holm Kadomtsev-Petviashvili (g-CH-KP) Equation; Lie Analysis; Conservation Laws; Nonlinear Self-adjointness; New Extended Direct Algebraic Method; PARTIAL-DIFFERENTIAL-EQUATIONS; KUNDU-LAKSHMANAN EQUATION; CONSERVATION-LAWS; SOLITON-SOLUTIONS; OPTICAL SOLITONS; BACKLUND TRANSFORMATION; STABILITY; EVOLUTION; COMPACT;

D O I：

10.1142/S0218348X23400789

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the nonlinear (1 + n)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili (g-CH-KP) equation is examined using Lie theory. Lie point symmetries of the equation are computed using MAPLE software and are generalized for the case of any dimension. Moreover, the equation is transformed into a nonlinear ordinary differential equation using the Abelian subalgebra. The nonlinear self-adjoint classification of the equation under consideration is accomplished with the help of which conservation laws for a particular dimension are calculated. Moreover, the new extended algebraic approach is used to compute a wide range of solitonic structures using different set of parameters. Graphic description of some specific applicable solutions for certain physical parameters is portrayed.

引用

页数：29

共 60 条

[1] MULTI-SOLITON SOLUTIONS BASED ON INTERACTIONS OF BASIC TRAVELING WAVES WITH AN APPLICATION TO THE NONLOCAL BOUSSINESQ EQUATION [J].