Similarity Reductions and Integrable Properties of Lax Pair for Boiti-Leon-Manna-Pempinelli Equation


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Authors

  • Manjit Singh Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo, Punjab, India

Keywords:

Lie symmetry, Boiti-Leon-Manna-Pempinelli-equation, Bell polynomials, B$\ddot{\rm{a}}$cklund transformations, Lax pairs, Traveling wave solutions

Abstract

Based on symbolic computational system Maple; classical Lie symmetry reductions of Lax pair for Boiti--Leon--Manna--Pempinelli(BLMP) equation are presented. We have obtained three interesting reductions for Lax pair along with one exact solution. Analysis of reductions have shown that, under similar symmetry group compatibility condition of reduced Lax pair is same as of reduced equation. Moreover, one of the reduced equation is analyzed with Bell polynomials for B$\ddot{\rm{a}}$cklund transformations and Lax pairs; several new traveling wave solutions are also constructed.

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Published

15-06-2018

How to Cite

Manjit Singh. (2018). Similarity Reductions and Integrable Properties of Lax Pair for Boiti-Leon-Manna-Pempinelli Equation. International Journal of Mathematics And Its Applications, 6(2 - B), 431–441. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/743

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.