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On invariant analysis and conservation laws for degenerate coupled multi-KdV equations for multiplicity l= 3
(Springer, 2019)
The degenerate coupled multi-Korteweg–de Vries equations for coupled multiplicity l= 3 are studied. The equations, also known as three-field Kaup–Boussinesq equations, are considered for invariant analysis and conservation ...
Optical solitons and other solutions with anti-cubic nonlinearity by Lie symmetry analysis and additional integration architectures
(Elsevier, 2019)
In this work, symmetry reduction for nonlinear Schrödinger's equation with anti-cubic nonlinearity is determined by using the invariance of equations under Lie group of transformations. Using the similarity transformations ...
On explicit exact solutions of variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation
(Springer, 2019)
We investigate the variable-coefficient time-fractional generalized fifth-order Korteweg-de Vries equation for admissible forms of the variable coefficients under the condition of invariance, and derive certain explicit ...
Dispersion analysis and improved F-expansion method for space–time fractional differential equations
(Springer, 2019)
In this article, an improved F-expansion method with the Riccati equation is suggested for space–time fractional differential equations for exact solutions. The fractional complex transformation is used to convert the ...
Time fractional Biswas–Milovic equation: Group analysis, soliton solutions, conservation laws and residual power series solution
(Elsevier, 2019)
In this work, we studied time fractional Biswas–Milovic equation (FBME) which describes the long distance optical communication with Kerr law nonlinearity. We analyzed group analysis of equation by using Lie symmetry ...
Invariant traveling wave solutions of parity-time-symmetric mixed linear-nonlinear optical lattices with three types of nonlinearity
(Institute of Physics Publishing, 2019)
This paper focuses on the complex nonlinear Schrö dinger equation for the propagation of optical pulses in the nonlinear media with imprinted parity-time symmetric mixed linear-nonlinear optical lattices. Three types of ...
Multiple types of exact solutions and conservation laws of new coupled (2 + 1) -dimensional Zakharov–Kuznetsov system with time-dependent coefficients
(Springer, 2019)
This paper investigates the new coupled (2 + 1) -dimensional Zakharov–Kuznetsov (ZK) system with time-dependent coefficients for multiple types of exact solutions by using the Lie symmetry transformation method. Similarity ...
Group classification, conservation laws and Painlevé analysis for Klein–Gordon–Zakharov equations in (3 + 1)-dimension
(Springer, 2019)
In this paper, we study Klein–Gordon–Zakharov equations which describe the propagation of strong turbulence of the Langmuir wave in a high-frequency plasma. Using the symbolic manipulation tool Maple, the classifications ...
Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients
(Springer, 2019)
In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries (KdV) equations, ...