A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky

H. M. Jaradat; Marwan Alquran; Muhammed I. Syam

doi:10.1007/s40819-018-0497-7

A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky

H. M. Jaradat
, Marwan Alquran
, Muhammed I. Syam

Department of Mathematical Sciences

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

37 Citations (Scopus)

Abstract

In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.

Original language	English
Article number	64
Journal	International Journal of Applied and Computational Mathematics
Volume	4
Issue number	2
DOIs	https://doi.org/10.1007/s40819-018-0497-7
Publication status	Published - Apr 1 2018

Keywords

Simplified Bilinear method
Solitons
Tanh-Expansion method
Two-mode Kuramoto–Sivashinsky

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40819-018-0497-7

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title = "A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky",

abstract = "In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.",

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AU - Alquran, Marwan

AU - Syam, Muhammed I.

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N2 - In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.

AB - In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.

KW - Simplified Bilinear method

KW - Solitons

KW - Tanh-Expansion method

KW - Two-mode Kuramoto–Sivashinsky

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JO - International Journal of Applied and Computational Mathematics

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ER -

A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky

Abstract

Keywords

ASJC Scopus subject areas

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