Families of analytic solutions for (2+1) model in unbounded domain via optimal Lie vectors with integrating factors-Reference-Cited by-同舟云学术

Families of analytic solutions for (2+1) model in unbounded domain via optimal Lie vectors with integrating factors

Published:2019-07-18 Issue:20 Volume:33 Page:1950229
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Sadat R.¹^ORCID,Kassem M. M.¹,Ma Wen-Xiu²³⁴⁵

Affiliation:

1. Department of Mathematics and Physics, Faculty of Engineering, Zagazig University, Egypt

2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

4. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

5. College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

Abstract

Through the commutator table and the adjoint table between the infinitesimals, we apply two stages of Lie symmetry reduction to reduce the (2[Formula: see text]+[Formula: see text]1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation to ordinary differential equations (ODE’s). Some of these ODE’s had no quadrature. We derive several new solutions for these non-solvable ODE’s using Integrating Factors property.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984919502294

Reference8 articles.

1. A (2 + 1)-dimensional generalization of the AKNS shallow water wave equation

3. Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

4. New exact solutions and Bäcklund transformation for Boiti–Leon–Manna–Pempinelli equation

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