Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations

Y. Chen; B. Li

doi:10.1393/ncb/i2004-10062-5

Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations

Y. Chen^*
, B. Li

^*Corresponding author for this work

Ningbo University
Chinese Academy of Sciences
Shanghai Jiao Tong University
Dalian University of Technology

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

1 Scopus citations

Abstract

Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ ^n-1μ_t + α(μ^m)x + b(μⁿ)_xxx + (μⁿ)_xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.

Original language	English
Pages (from-to)	227-237
Number of pages	11
Journal	Nuovo Cimento della Societa Italiana di Fisica B
Volume	119
Issue number	3
DOIs	https://doi.org/10.1393/ncb/i2004-10062-5
State	Published - Mar 2004
Externally published	Yes

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title = "Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations",

abstract = "Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ n-1μt + α(μm)x + b(μn)xxx + (μn)xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.",

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T1 - Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations

AU - Chen, Y.

AU - Li, B.

PY - 2004/3

Y1 - 2004/3

N2 - Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ n-1μt + α(μm)x + b(μn)xxx + (μn)xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.

AB - Based on computerized symbolic computation and some proper transformations, the tanh-method is improved. Using the improved method, we investigate fifth-order nonlinear dispersive f K (m, n) equations, μ n-1μt + α(μm)x + b(μn)xxx + (μn)xxxxx = 0. As a result, the more general solutions for f K (n, n) equations are obtained, which not only contain the compactons solutions but also contain many new compact and noncompact solutions. Five families of new travelling wave solutions for f K (m, n), (m ≠ n) equations are obtained, which contain kink-shaped solitons, bell-shaped solitons, triangular periodic solutions and singular solitons.

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JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

IS - 3

ER -

Symbolic computation and new travelling wave solutions for fifth-order nonlinear dispersive f K (m, n) equations

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