Similarity Reductions and Intermediate Integrals of The Phi-Four Equation

Author & Affiliation:
S. BALAMURUGAN
Department of Mathematics, Government Arts College, Melur, Madurai-625106, (India)
S. VIGNESHWARAN
Madurai Kamaraj University, Madurai-625021 (India)
Keyword:
Group theoretic method, Direct method, Similarity solution, 35C06,35C09,35Q35,35Q40.
Issue Date:
April 2018
Abstract:

This study bases attention on new similarity solution and new similarity reductions of Phi-four equation has been subjected to Lie’s group theoretic method of infinitesimal transformation (Transformation from nonlinear PDE to nonlinear ODE) .Also produce another new similarity reduction of that equation obtained by direct method. To the best of our knowledge, we are first to obtain a new similarity solution is expressed in terms of trigonometric function and new similarity reductions are successfully reported. Therefore we reported Intermediate integrals of reduced ordinary differential equation

Pages:
239-246
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
http://dx.doi.org/10.22147/jusps-A/300402
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Copy the following to cite this article:

S. Balamurugan; S. Vigneshwaran, "Similarity Reductions and Intermediate Integrals of The Phi-Four Equation", Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 4, Page Number 239-246, 2018

Copy the following to cite this URL:

S. Balamurugan; S. Vigneshwaran, "Similarity Reductions and Intermediate Integrals of The Phi-Four Equation", Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 4, Page Number 239-246, 2018

Available from: https://www.ultrascientist.org/paper/1468/

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