Preparation of straw activated carbon and its application in wastewater treatment: A review

Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+1)-dimensional dissipative long wave system

Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation

Singular manifolds method (SMM) is utilized to detect the Lax pair and Bcklund transformation of (3+1)-dimensional BoitiLeonMannaPempinelli (BLMP) equation. An extension of group transformation method with three parameters is exploited in transforming the Lax pair directly to a system of ordinary differential equations (ODEs). Two cases of similarity variables are considered resulting in solvable systems of ODEs. New analytical solutions are attained and graphed containing some soliton waves. Some of these solutions are applicable of plasma explosions and fluid dynamics. Both of investigation of Lax pair of (3+1)-dimensional evolution equations and three parameters group method are seldom utilized in this kind of evolution equations.

Analysis of (3 + 1)-dimensional BoitiLeonMannaPempinelli equation via Lax pair investigation and group transformation method

In the long-distance optical fiber communication system, we consider the (3+1)-dimensional coupled nonlinear Schrodinger equation with perturbation functions, which controls the transverse effects, because of the complexity of nonlinear phenomena. Anti-dark two-soliton solutions are derived by the Hirota method. The perturbation function representing the dissipation rate is discussed. Five different transmission structures of solitons are presented. Besides, their propagation and collision dynamics are analyzed. Control methods for phase shift and oscillation are also suggested. We hope results in this paper are of guiding significance to the research of phase shifters, optical logic devices and ultrashort pulse lasers.

Phase shift, oscillation and collision of the anti-dark solitons for the (3+1)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system

N-solitons and cuspon waves solutions of (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations via hidden symmetries of Lie optimal system

N-Solitons, kink and periodic wave solutions for (3 + 1)-dimensional Hirota bilinear equation using three distinct techniques

Analysis of (3+1)-dimensional unsteady gas flow using optimal system of Lie symmetries

Group analysis for natural convection from a vertical plate

Group solution of a time dependent chemical convective process

A. S. Rashed

Papers

N-solitons and cuspon waves solutions of (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations via hidden symmetries of Lie optimal system

N-Solitons, kink and periodic wave solutions for (3 + 1)-dimensional Hirota bilinear equation using three distinct techniques

Analysis of (3+1)-dimensional unsteady gas flow using optimal system of Lie symmetries

Group analysis for natural convection from a vertical plate

Group solution of a time dependent chemical convective process