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Embedded Solitons and Conservation Law with χ (2) and χ (3) Nonlinear Susceptibilities
(2017)
This paper studies embedded solitons that are confined to continuous spectrum, with χ (2) and χ (3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficient ...
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 ...
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 ...
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 Painlev 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 ...
The time fractional D(m,n) system: invariant analysis, explicit solution, conservation laws and optical soliton
(Taylor and Francis Ltd., 2020-09-16)
In this article, a generalized Drinfeld�Sokolov system, also called (Formula presented.) system which describes the anomalous propagation of nonlinear surface gravity waves over horizontal seabed, is investigated. The Lie ...
On analytic series solutions and conserved fluxes of the time fractional (2+1)-dimensional Burger's system via invariant approach
(Taylor and Francis Ltd., 2021-12-07)
The article investigates some new properties such as invariant transformations, conserved vectors, and closed-form series solutions of (2+1) dimensional nonlinear coupled Burger system, a model of the evolution of the ...
Space�time fractional nonlinear partial differential system: Exact solution and conservation laws
(Springer, 2021-10-18)
The objective of this manuscript is to analyse space�time fractional generalised Hirota�Satsuma coupled Korteweg�de Vries (HSCKdV) system with time-dependent variable coefficients for exact solution using power series ...
General form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fields
(Institute of Physics, 2023-06-24)
The invariant non-static solutions of Einstein�s vacuum field equations, corresponding to the most general form of axially symmetric stationary line element that represents a non conformally flat semi-Riemannian spacetime ...