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Volume 8, Issue 2
Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation

Muhammad Arshad, Dianchen Lu, Jun Wang & Abdullah

DOI: 10.4208/eajam.090617.231117a

East Asian J. Appl. Math., 8 (2018), pp. 211-223.

Published online: 2018-05

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  • Abstract

Exact traveling wave solutions of the fifth order space-time fractional Sawada-Kotera equation are derived by generalised exp(−$Φ(ξ)$)-expansion and an improved fractional sub-equation method. Among the solutions obtained there are hyperbolic, trigonometric, exponential and rational ones. The methods are simple, efficient and can be applied to other nonlinear problems.

  • Keywords

Fractional Sawada-Kotera equation, exact solutions.

  • AMS Subject Headings

35N05,35C07,35C08,35Q53

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-211, author = {Muhammad Arshad, Dianchen Lu, Jun Wang and Abdullah}, title = {Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {211--223}, abstract = {

Exact traveling wave solutions of the fifth order space-time fractional Sawada-Kotera equation are derived by generalised exp(−$Φ(ξ)$)-expansion and an improved fractional sub-equation method. Among the solutions obtained there are hyperbolic, trigonometric, exponential and rational ones. The methods are simple, efficient and can be applied to other nonlinear problems.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.090617.231117a}, url = {http://global-sci.org/intro/article_detail/eajam/12201.html} }
TY - JOUR T1 - Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation AU - Muhammad Arshad, Dianchen Lu, Jun Wang & Abdullah JO - East Asian Journal on Applied Mathematics VL - 2 SP - 211 EP - 223 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.090617.231117a UR - https://global-sci.org/intro/article_detail/eajam/12201.html KW - Fractional Sawada-Kotera equation, exact solutions. AB -

Exact traveling wave solutions of the fifth order space-time fractional Sawada-Kotera equation are derived by generalised exp(−$Φ(ξ)$)-expansion and an improved fractional sub-equation method. Among the solutions obtained there are hyperbolic, trigonometric, exponential and rational ones. The methods are simple, efficient and can be applied to other nonlinear problems.

Muhammad Arshad, Dianchen Lu, Jun Wang and Abdullah. (2018). Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation. East Asian Journal on Applied Mathematics. 8 (2). 211-223. doi:10.4208/eajam.090617.231117a
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