Solitons solutions for some nonlinear evolution equations

Huabing Jia; Wei Xu

doi:10.1016/j.amc.2009.09.061

Solitons solutions for some nonlinear evolution equations

Huabing Jia, Wei Xu

School of Mathematics and Statistics

Baoji University of Arts and Sciences

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

14 Scopus citations

Abstract

In this paper, we establish new solitary wave solutions to the modified Kawahara equation by the sine-cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the generalized fifth-order KdV equation are obtained. The tanh method is used to handle the double sine-Gordon equation and the double sinh-Gordon equation. Families of exact travelling wave solutions are formally derived. The rational triangle sine-cosine method is introduced and to be constructed complex solutions to the modified Degasperis-Procesi (DP) equation and the modified Camassa-Holm (CH) equation.

Original language	English
Pages (from-to)	1678-1687
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	217
Issue number	4
DOIs	https://doi.org/10.1016/j.amc.2009.09.061
State	Published - 15 Oct 2010

Keywords

Generalized fifth-order KdV equation
Modified Kawahara equation
Rational sine-cosine functions method
Sine-cosine method
Solitons
Tanh method

Access to Document

10.1016/j.amc.2009.09.061

Cite this

@article{128a52839bd94d0ea4733d10cbd1c680,

title = "Solitons solutions for some nonlinear evolution equations",

abstract = "In this paper, we establish new solitary wave solutions to the modified Kawahara equation by the sine-cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the generalized fifth-order KdV equation are obtained. The tanh method is used to handle the double sine-Gordon equation and the double sinh-Gordon equation. Families of exact travelling wave solutions are formally derived. The rational triangle sine-cosine method is introduced and to be constructed complex solutions to the modified Degasperis-Procesi (DP) equation and the modified Camassa-Holm (CH) equation.",

keywords = "Generalized fifth-order KdV equation, Modified Kawahara equation, Rational sine-cosine functions method, Sine-cosine method, Solitons, Tanh method",

author = "Huabing Jia and Wei Xu",

year = "2010",

month = oct,

day = "15",

doi = "10.1016/j.amc.2009.09.061",

language = "英语",

volume = "217",

pages = "1678--1687",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "4",

}

TY - JOUR

T1 - Solitons solutions for some nonlinear evolution equations

AU - Jia, Huabing

AU - Xu, Wei

PY - 2010/10/15

Y1 - 2010/10/15

N2 - In this paper, we establish new solitary wave solutions to the modified Kawahara equation by the sine-cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the generalized fifth-order KdV equation are obtained. The tanh method is used to handle the double sine-Gordon equation and the double sinh-Gordon equation. Families of exact travelling wave solutions are formally derived. The rational triangle sine-cosine method is introduced and to be constructed complex solutions to the modified Degasperis-Procesi (DP) equation and the modified Camassa-Holm (CH) equation.

AB - In this paper, we establish new solitary wave solutions to the modified Kawahara equation by the sine-cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the generalized fifth-order KdV equation are obtained. The tanh method is used to handle the double sine-Gordon equation and the double sinh-Gordon equation. Families of exact travelling wave solutions are formally derived. The rational triangle sine-cosine method is introduced and to be constructed complex solutions to the modified Degasperis-Procesi (DP) equation and the modified Camassa-Holm (CH) equation.

KW - Generalized fifth-order KdV equation

KW - Modified Kawahara equation

KW - Rational sine-cosine functions method

KW - Sine-cosine method

KW - Solitons

KW - Tanh method

UR - http://www.scopus.com/inward/record.url?scp=77957273011&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2009.09.061

DO - 10.1016/j.amc.2009.09.061

M3 - 文章

AN - SCOPUS:77957273011

SN - 0096-3003

VL - 217

SP - 1678

EP - 1687

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 4

ER -

Solitons solutions for some nonlinear evolution equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this