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Explicit solutions of nonlinear wave equation systems

Explicit solutions of nonlinear wave equation systems
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摘要 We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equations 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 the (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics. We apply the (G'/G)-expansion method to solve two systems of nonlinear differential equations 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 the (G'/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第1期39-45,共7页 中国物理B(英文版)
基金 Project supported by the Scientific Research Project of Eskisehir Osmangazi University, Turkey (Grant No. 201019031)
关键词 (G'/G)-expansion method long-short-wave interaction system coupled integrable dispersionless system (G'/G)-expansion method, long-short-wave interaction system, coupled integrable dispersionless system
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