HE Guoliang and MA Yufei. Exact solutions to the Mikhailov-Shabat-Sokolov equation[J]. Journal of Light Industry, 2018, 33(1): 104-108. doi: 10.3969/j.issn.2096-1553.2018.01.013
Citation:
HE Guoliang and MA Yufei. Exact solutions to the Mikhailov-Shabat-Sokolov equation[J]. Journal of Light Industry, 2018, 33(1): 104-108.
doi:
10.3969/j.issn.2096-1553.2018.01.013
Exact solutions to the Mikhailov-Shabat-Sokolov equation
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College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China
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Received Date:
2017-02-09
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Abstract
The exact travelling wave solutions of the famous Mikhailov-Shabat-Sokolov (MSS) equation,which contained three kinds of forms,such as the solution of hyperbolic functions,the solution of trigonometric functions and the solution of rational functions,were obtained by using the ((G')/G) expansion method.Especially when the parameters were taken as special values,the solution of the hyperbolic functions could be transformed into the soliton wave solutions.
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References
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[1]
WANG M L,LI X Z,ZHANG J L.The ((G')/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J].Physics Letter A,2008,372(4):417.
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[5] MILHAILOV A V,SHABAT A B,SOKOLOV V V.Thesymmetry approach to classification of integrableequations[M]//What is integrability?Berlin:Springer Berlin Heidelberg,1991:115-184.
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[6] HE G L,GENG X G,WU L H.The application of trigonal curve to the Mikhailov-Shabat-Sokolov flows[J].Zeitschrift für Angewandte Mathematik und Physik,2016,67:1.
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Proportional views
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