Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient

Wei Ping Zhong; Milivoj R. Belić; Milan S. Petrović

doi:10.1007/s11071-013-1162-7

Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient

Wei Ping Zhong^*, Milivoj R. Belić, Milan S. Petrović

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

New solitary and extended wave solutions of the generalized sinh-Gordon (SHG) equation with a variable coefficient are found by utilizing the self-similar transformation between this equation and the standard SHG equation. Two arbitrary self-similar functions are included in the known solutions of the standard SHG equation, to obtain exact solutions of the generalized SHG equation with a specific variable coefficient. Our results demonstrate that the solitary and extended waves of the variable-coefficient SHG equation can be manipulated and controlled by a proper selection of the two arbitrary self-similar functions.

Original language	English
Pages (from-to)	717-723
Number of pages	7
Journal	Nonlinear Dynamics
Volume	76
Issue number	1
DOIs	https://doi.org/10.1007/s11071-013-1162-7
Publication status	Published - Apr 2014
Externally published	Yes

Keywords

Sinh-Gordon equation
Solitary and extended waves
Variable coefficient

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10.1007/s11071-013-1162-7

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title = "Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient",

abstract = "New solitary and extended wave solutions of the generalized sinh-Gordon (SHG) equation with a variable coefficient are found by utilizing the self-similar transformation between this equation and the standard SHG equation. Two arbitrary self-similar functions are included in the known solutions of the standard SHG equation, to obtain exact solutions of the generalized SHG equation with a specific variable coefficient. Our results demonstrate that the solitary and extended waves of the variable-coefficient SHG equation can be manipulated and controlled by a proper selection of the two arbitrary self-similar functions.",

keywords = "Sinh-Gordon equation, Solitary and extended waves, Variable coefficient",

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T1 - Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient

AU - Zhong, Wei Ping

AU - Belić, Milivoj R.

AU - Petrović, Milan S.

PY - 2014/4

Y1 - 2014/4

N2 - New solitary and extended wave solutions of the generalized sinh-Gordon (SHG) equation with a variable coefficient are found by utilizing the self-similar transformation between this equation and the standard SHG equation. Two arbitrary self-similar functions are included in the known solutions of the standard SHG equation, to obtain exact solutions of the generalized SHG equation with a specific variable coefficient. Our results demonstrate that the solitary and extended waves of the variable-coefficient SHG equation can be manipulated and controlled by a proper selection of the two arbitrary self-similar functions.

AB - New solitary and extended wave solutions of the generalized sinh-Gordon (SHG) equation with a variable coefficient are found by utilizing the self-similar transformation between this equation and the standard SHG equation. Two arbitrary self-similar functions are included in the known solutions of the standard SHG equation, to obtain exact solutions of the generalized SHG equation with a specific variable coefficient. Our results demonstrate that the solitary and extended waves of the variable-coefficient SHG equation can be manipulated and controlled by a proper selection of the two arbitrary self-similar functions.

KW - Sinh-Gordon equation

KW - Solitary and extended waves

KW - Variable coefficient

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DO - 10.1007/s11071-013-1162-7

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EP - 723

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1

ER -

Solitary and extended waves in the generalized sinh-Gordon equation with a variable coefficient

Abstract

Keywords

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