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Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
New Exact Solutions of Nonlinear (3 + 1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation, Advances in Mathematical Physics (2019) 1-8.
Authors: Mohamed R. Ali; Wen-Xiu Ma,
Year: 2019
Keywords: (3+1)-dimensional Boiti–Boiti–Leon–Manna– Pempinelli; Cole-Hopf transformation; Hirota method; lump Soliton; Interaction of solutions.
Journal: Advances in Mathematical Physics
Volume: 2019
Issue: 1
Pages: 7
Publisher: hindawi
Local/International: Local
Paper Link:
Full paper Mohamed Reda Ali Mohamed _Mohamed.R.Ali.pdf
Supplementary materials Not Available
Abstract:

Based on Hirota’s bilinear structure, we evolute a new protuberance type arrangement of the (3+1)-dimensional Boiti-Boiti-Leon-Manna-Pempinelli equation, which depicts nonlinear wave spreads in incompressible fluid. New lump arrangement is built by applying the bilinear strategy and picking appropriate polynomial. Under various parameter settings, this lump arrangement has three sorts of numerous irregularity waves, blended arrangements including lump waves and solitons are additionally developed. Association practices are seen between lump soliton and soliton. Research demonstrates that soliton can somewhat swallow or release lump waves. The shape and highlights for these subsequent arrangements are portrayed by exploiting the three-dimensional plots and comparing shape plots by picking suitable parameters. The physical significance of these charts is given.

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