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Volume 2, Issue 1
Abundant Exact Explicit Solutions to a Modified cKdV Equation

Zhenshu Wen & Qin Wang

DOI: 10.12150/jnma.2020.45

J. Nonl. Mod. Anal., 2 (2020), pp. 45-56.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-45, author = {Wen , Zhenshu and Wang , Qin}, title = {Abundant Exact Explicit Solutions to a Modified cKdV Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.45}, url = {http://global-sci.org/intro/article_detail/jnma/18797.html} }
TY - JOUR T1 - Abundant Exact Explicit Solutions to a Modified cKdV Equation AU - Wen , Zhenshu AU - Wang , Qin JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 45 EP - 56 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.45 UR - https://global-sci.org/intro/article_detail/jnma/18797.html KW - Modified cKdV equation, Exact explicit solutions, $(ω/g)$-expansion method, $(g'/g^2)$-expansion method, $(g'/g)$-expansion method, $(g')$-expansion method. AB -

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.

Zhenshu Wen & Qin Wang. (1970). Abundant Exact Explicit Solutions to a Modified cKdV Equation. Journal of Nonlinear Modeling and Analysis. 2 (1). 45-56. doi:10.12150/jnma.2020.45
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