Search
Now showing items 1-10 of 63
Painlevé analysis and invariant solutions of Vakhnenko–Parkes (VP) equation with power law nonlinearity
(Springer, 2016)
The Vakhnenko–Parkes (VP) equation with
power law nonlinearity is analyzed for Painlevé test
and for Lie symmetries. The Painlevé analysis of
Vakhnenko–Parkes equation with power law nonlin-
earity is performed by the ...
Invariant solutions of Biswas-Milovic equation
(Springer Netherlands, 2017)
The Biswas-Milovic equation in generalized form and with power law nonlinearity is analyzed for Lie symmetries. The classical Lie group method is applied to derive symmetries of this equation, and the ordinary differential ...
Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis
(National Institute of Optoelectronics, 2016)
This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation ...
Solitons and other solutions to Wu–Zhang system
(Vilnius University, 2017)
This paper addresses Wu–Zhang system to study dispersive long waves. The extended
trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions.
Subsequently, Lie group formalism is ...
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 ...
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 ...
Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
(IntechOpen, 2018)
The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary ...
Exact Solutions of Some Complex Non-Linear Equations," Lecture Notes in Engineering and Computer Science
(Newswood Limited, 2018)
Exact solutions of the coupled Higgs and Maccari system are obtained. Travelling wave solutions of coupled Higgs equation and Maccari system in the form of Jacobi’s elliptical functions are presented.