Abundant Exact Explicit Solutions to a Modified cKdV Equation

Abundant Exact Explicit Solutions to a Modified cKdV Equation

Year:    2020

Author:    Zhenshu Wen, Qin Wang

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 45–56

Abstract

In this paper, we construct abundant exact explicit solutions to a modified cKdV equation by employing the three forms of $(ω/g)$-expansion method, i.e., $(g' /g^2)$-expansion method, $(g' /g)$-expansion method and $(g')$-expansion method. The solutions obtained are under different constraint conditions and are in the form of hyperbolic, trigonometric and rational functions, respectively, including kink (antikink) wave solutions, singular wave solutions and periodic singular wave solutions which have potential applications in physical science and engineering.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2020.45

Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 45–56

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Modified cKdV equation Exact explicit solutions $(ω/g)$-expansion method $(g'/g^2)$-expansion method $(g'/g)$-expansion method $(g')$-expansion method.

Author Details

Zhenshu Wen

Qin Wang