Novel(G'/G)-expansion method and its application for solving NLEEs - Alam, Md Nur;Akbar, Md Ali
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Novel (G'/G)-expansion method is one of the powerful and competent methods for establishing exact traveling wave solutions to NLEEs. Exact solutions of NLEEs play a key role to reveal the internal structure of intricate physical phenomena. We apply the novel (G'/G)-expansion method to solve several systems of NLEEs and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. The obtained solutions might be imperative and significant for the explanation of practical problems. The solutions include…mehr

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Produktbeschreibung
Novel (G'/G)-expansion method is one of the powerful and competent methods for establishing exact traveling wave solutions to NLEEs. Exact solutions of NLEEs play a key role to reveal the internal structure of intricate physical phenomena. We apply the novel (G'/G)-expansion method to solve several systems of NLEEs and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. The obtained solutions might be imperative and significant for the explanation of practical problems. The solutions include soliton, singular soliton, cuspon, peakon, compacton, bell-shape solitary wave solution, kink, singular kink, periodic and singular periodic solution. The performance of this method is reliable, compatible, and gives us more new exact solutions than the existing methods. We highlight the power of the novel ( G'/G)-expansion method in providing generalized solitary wave solutions of different complex physical phenomena. The method is direct, concise and simple to implement compared with other existing methods. This method presents a wider applicability for handling nonlinear wave equations.
Autorenporträt
Md. Nur Alam has received his B. Sc. and M. Sc. in Mathematics from University of Rajshahi, Bangladesh in 2008 and 2009. He has received his M. Phil. from PUST, Bangladesh in 2015. Currently he is an Assistant Professor at the Dept. of Mathematics, PUST. His fields of interest are Differential Equations,Isogeometric analysis and CAD.