New Compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation

Yong Chen; Zhen Ya Yan

doi:10.1088/6102/44/5/789

New Compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation

Yong Chen^*
, Zhen Ya Yan

^*Corresponding author for this work

Ningbo University
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.

Original language	English
Pages (from-to)	789-792
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	44
Issue number	5
DOIs	https://doi.org/10.1088/6102/44/5/789
State	Published - 15 Nov 2005
Externally published	Yes

Keywords

(2+1)-dimensional nonlinear wave equation
Comptacton-like solution
Solitary pattern-like solution

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10.1088/6102/44/5/789

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title = "New Compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation",

abstract = "Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.",

keywords = "(2+1)-dimensional nonlinear wave equation, Comptacton-like solution, Solitary pattern-like solution",

author = "Yong Chen and Yan, \{Zhen Ya\}",

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T1 - New Compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation

AU - Chen, Yong

AU - Yan, Zhen Ya

PY - 2005/11/15

Y1 - 2005/11/15

N2 - Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.

AB - Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.

KW - (2+1)-dimensional nonlinear wave equation

KW - Comptacton-like solution

KW - Solitary pattern-like solution

UR - https://www.scopus.com/pages/publications/29344443094

U2 - 10.1088/6102/44/5/789

DO - 10.1088/6102/44/5/789

M3 - 文章

AN - SCOPUS:29344443094

SN - 0253-6102

VL - 44

SP - 789

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JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 5

ER -

New Compacton-like and solitary pattern-like solutions of (2+1)-dimensional generalization of modified KdV equation

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Keywords

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