New family of overturning soliton solutions for a typical breaking soliton equation

Yi Tian Gao; Bo Tian

doi:10.1016/0898-1221(95)00176-Y

New family of overturning soliton solutions for a typical breaking soliton equation

Yi Tian Gao^*
, Bo Tian

^*Corresponding author for this work

Lanzhou University

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

59 Scopus citations

Abstract

The breaking soliton equations are of current interest, while the application of computer algebra to sciences has a bright future. In this paper, a new family of overturning soliton solutions for a typical breaking soliton equation is obtained via a computer-algebra-based method. An example of explicit solutions from the family is given. Solitary waves are also shown to be merely a simple case belonging to the family.

Original language	English
Pages (from-to)	97-100
Number of pages	4
Journal	Computers and Mathematics with Applications
Volume	30
Issue number	12
DOIs	https://doi.org/10.1016/0898-1221(95)00176-Y
State	Published - Dec 1995
Externally published	Yes

Keywords

Breaking soliton equation
Computer-algebra-based method
Exact solutions
Mathematical methods in physics
Nonlinear evolution equations

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10.1016/0898-1221(95)00176-Y

Cite this

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title = "New family of overturning soliton solutions for a typical breaking soliton equation",

abstract = "The breaking soliton equations are of current interest, while the application of computer algebra to sciences has a bright future. In this paper, a new family of overturning soliton solutions for a typical breaking soliton equation is obtained via a computer-algebra-based method. An example of explicit solutions from the family is given. Solitary waves are also shown to be merely a simple case belonging to the family.",

keywords = "Breaking soliton equation, Computer-algebra-based method, Exact solutions, Mathematical methods in physics, Nonlinear evolution equations",

author = "Gao, \{Yi Tian\} and Bo Tian",

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AU - Tian, Bo

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AB - The breaking soliton equations are of current interest, while the application of computer algebra to sciences has a bright future. In this paper, a new family of overturning soliton solutions for a typical breaking soliton equation is obtained via a computer-algebra-based method. An example of explicit solutions from the family is given. Solitary waves are also shown to be merely a simple case belonging to the family.

KW - Breaking soliton equation

KW - Computer-algebra-based method

KW - Exact solutions

KW - Mathematical methods in physics

KW - Nonlinear evolution equations

UR - https://www.scopus.com/pages/publications/0001952069

U2 - 10.1016/0898-1221(95)00176-Y

DO - 10.1016/0898-1221(95)00176-Y

M3 - 文章

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 12

ER -

New family of overturning soliton solutions for a typical breaking soliton equation

Abstract

Keywords

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