Some more similarity solutions of the(2+1)-dimensional BLP system

Abstract

2 + 1)-dimensional Boiti-Leon-Pempinelli system Exact solutions Similarity transformations method a b s t r a c t Some more similarity solutions of the coupled Boiti-Leon-Pempinelli system have been obtained by using similarity transformations method via Lie-group theory. The solutions are attained under the restrictions imposed on the functions involved in infinitesimals. Then, solutions are investigated through the graphical representation in different cases. The cases depend upon some suitable choice of arbitrary functions involved there i.e. in the solutions to get physically meaningful structures. Analytical solutions are supplemented by numerical simulations with appropriate choice of arbitrary functions and constants. Eventually, profiles show single soliton, elastic multisolitons, quasi periodic, parabolic and asymptotic nature of solutions.

A revisit of symmetry analysis and group classifications of Boiti Leon Pempinelli system in (2+1)-dimensions

“…in the earlier works [3][4][5][6][7][8], a detailed groups classification of the infinite-dimensional Lie algebra ( 6) is obtained, and that too without assigning particular values to the arbitrary functions. One, two and three-dimensional groups classifications have been obtained at (11), ( 13), ( 14) respectively.…”

“…The equation (1) has been investigated for Lie symmetries in Refs. [3][4][5][6][7][8]. However, the symmetry analysis in all of these papers is incomplete and inadequate.…”

“…In Refs. [4,5], the arbitrary functions in an infinite Lie group are again fixed and group invariant solutions are obtained, and the authors used the same technique to fix arbitrary functions in their recent work [8]. Furthermore, in Ref.…”

Complex Acoustic Gravity Wave Behaviors to a Mathematical Model Arising in Nonlinear Mathematical Physics

“…The (2+1)-dimensional BLP equation which arises in mathematical physics, describe the interaction of the two waves with different distributional relationships. [25].…”

Lie Symmetry Reductions and Solitary Wave Solutions of Modified Equal Width Wave Equation

“…It is difficult to solve the MEWW equation with higher degree nonlinear terms by direct integration. The researchers [17][18][19][20][21] inspired us to solve Eq. (1) analytically by using Lie symmetry Method.…”