New families of exact solutions to the integrable dispersive long wave equations in (2 + 1)-dimensional spaces

Bo Tian; Yi Tian Gao

doi:10.1088/0305-4470/29/11/023

New families of exact solutions to the integrable dispersive long wave equations in (2 + 1)-dimensional spaces

Bo Tian
, Yi Tian Gao^*

^*Corresponding author for this work

Lanzhou University
China Center of Advanced Science and Technology World Laboratory

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

48 Scopus citations

Abstract

The integrable dispersive long wave equations, especially the higher dimensional ones, are of current interest in both physics and mathematics. Obtained in this paper, via a symbolic-computation-based method, are new families of exact solutions to the (2 + 1)-dimensional integrable dispersive long wave equations. Sample solutions from those families are presented. Solitary waves are merely a special case in one family.

Original language	English
Pages (from-to)	2895-2903
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	29
Issue number	11
DOIs	https://doi.org/10.1088/0305-4470/29/11/023
State	Published - 1996
Externally published	Yes

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title = "New families of exact solutions to the integrable dispersive long wave equations in (2 + 1)-dimensional spaces",

abstract = "The integrable dispersive long wave equations, especially the higher dimensional ones, are of current interest in both physics and mathematics. Obtained in this paper, via a symbolic-computation-based method, are new families of exact solutions to the (2 + 1)-dimensional integrable dispersive long wave equations. Sample solutions from those families are presented. Solitary waves are merely a special case in one family.",

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AB - The integrable dispersive long wave equations, especially the higher dimensional ones, are of current interest in both physics and mathematics. Obtained in this paper, via a symbolic-computation-based method, are new families of exact solutions to the (2 + 1)-dimensional integrable dispersive long wave equations. Sample solutions from those families are presented. Solitary waves are merely a special case in one family.

UR - https://www.scopus.com/pages/publications/0000000936

U2 - 10.1088/0305-4470/29/11/023

DO - 10.1088/0305-4470/29/11/023

M3 - 文章

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New families of exact solutions to the integrable dispersive long wave equations in (2 + 1)-dimensional spaces

Abstract

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