Explicit solutions of nonlinear wave equation systems

doi:10.1088/1674-1056/22/1/010202

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 10202-010202.doi: 10.1088/1674-1056/22/1/010202

Explicit solutions of nonlinear wave equation systems

Ahmet Bekir, Burcu Ayhan, M. Naci Özer

Mathematics and Computer Science Department, Eskisehir Osmangazi University, Eskisehir, Turkey

收稿日期:2012-04-19 修回日期:2012-07-26 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the Scientific Research Project of Eskisehir Osmangazi University, Turkey (Grant No. 201019031).

Explicit solutions of nonlinear wave equation systems

Ahmet Bekir, Burcu Ayhan, M. Naci Özer

Mathematics and Computer Science Department, Eskisehir Osmangazi University, Eskisehir, Turkey

Received:2012-04-19 Revised:2012-07-26 Online:2012-12-01 Published:2012-12-01
Contact: Ahmet Bekir E-mail:abekir@ogu.edu.tr
Supported by:
Project supported by the Scientific Research Project of Eskisehir Osmangazi University, Turkey (Grant No. 201019031).

摘要/Abstract

摘要： We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equation and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. We highlight the power of the (G'/G)-expansion method in providing generalized solitary wave solutions of different physical structures. It is shown that (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.

关键词: (G'/G)-expansion method, long-short-wave interaction system, coupled integrable dispersionless system

Abstract: We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equation and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. We highlight the power of the (G'/G)-expansion method in providing generalized solitary wave solutions of different physical structures. It is shown that (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.

Key words: (G'/G)-expansion method, long-short-wave interaction system, coupled integrable dispersionless system

中图分类号: (Partial differential equations)

02.30.Jr

02.70.Wz (Symbolic computation (computer algebra)) 05.45.Yv (Solitons) 94.05.Fg (Solitons and solitary waves)

Ahmet Bekir, Burcu Ayhan, M. Naci Özer. Explicit solutions of nonlinear wave equation systems[J]. Chin. Phys. B, 2013, 22(1): 10202-010202.

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Explicit solutions of nonlinear wave equation systems

Explicit solutions of nonlinear wave equation systems

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