(9)Exact traveling wave solutions to higher order nonlinear equations

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Md Nur Alam ^∗, Xin Li

School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, China 

Received 27 March 2019; received in revised form 9 May 2019; accepted 9 May 2019 

Available online 17 May 2019 

Abstract   

    The present paper applies the new generalized ( G'/ G )-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3 + 1) -dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3 + 1) -dimensional Jimbo-Miwa equations and obtains some new exact traveling wave solutions. The solutions are checked by putting back into the physical model and are observed to be very advantageous over several existing methods. The newly method could also be utilized to find exact traveling wave solutions for the other nonlinear evolution equations in the field of applied nonlinear sciences. 

© 2019 Shanghai Jiaotong University. Published by Elsevier B.V. 

This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)  

Keywords: Generalized (G'/G) -expansion method; Fifth-order Korteweg-de Vries equation; (3 + 1) -dimensional modified KdV-Zakharov-Kuznetsov equation; (3 + 1) -dimensional Jimbo-Miwa equation; Traveling wave solutions.