Structure of traveling wave solutions for some nonlinear models via modified mathematical method

Dianchen Lu; Aly R.Seadawy; Asghar Ali; Aly R. Seadawy

doi:10.1515/phys-2018-0107

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Structure of traveling wave solutions for some nonlinear models via modified mathematical method

Journal article

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Structure of traveling wave solutions for some nonlinear models via modified mathematical method

Dianchen Lu, Aly R.Seadawy, Asghar Ali and Aly R. Seadawy

Open Physics, Vol.16(1), pp.854-860

31/12/2018

DOI: https://doi.org/10.1515/phys-2018-0107

Abstract

02.30.Jr

04.30.Nk

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Ablowitz-Kaup-Newell-Segur equation

Breaking soliton equation

Dodd-Bullough-Mikhailov equation (DBME)

Mathematical method

Three-dimensional ZKB equation

Unstable nonlinear NLS

We have employed the exp(- ))-expansion method to derive traveling waves solutions of breaking solition (BS), Zakharov-Kuznetsov-Burgers (ZKB), Ablowitz-Kaup-Newell-Segur (AKNS) water wave, Unstable nonlinear Schrödinger (UNLS) and Dodd-Bullough-Mikhailov (DBM) equations. These models have valuable applications in mathematical physics. The results of the constructed model, along with some graphical representations provide the basic knowlegde about these models. The derived results have various applications in applied science.

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Title: Structure of traveling wave solutions for some nonlinear models via modified mathematical method
Creators - without role: Dianchen Lu - Jiangsu University
Aly R.Seadawy - Beni-Suef University
Asghar Ali - University of Education
Aly R. Seadawy - Taibah University
Publication Details: Open Physics, Vol.16(1), pp.854-860
Publisher: De Gruyter
Number of pages: 7
Identifiers: 9929696808331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article