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Three-component coupled nonlinear Schrödinger equation: optical soliton and modulation instability analysis
(IOP Publishing, 16.03.2020)
Abstract: This study successfully extracts the combined dark-bright and singular optical solitons to the
three-component nonlinear Schrödinger equation by using the extended sinh-Gordon equation expansion method. The ...
Optical solitons to the (1+2)‑dimensional Chiral non‑linear Schrödinger equation
(Springer, 09.2022)
In this paper, we have successfully extracted many analytic solutions for the (1+2)-dimensional Chiral non-linear Schrödinger equation (NLSE) by the enhanced modifed extended tanh expansion method (eMETEM). The considered ...
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics
(Springer Nature, 2022)
Abstract The breather wave and lump periodic wave solutions for the (2 + 1)-dimensional Caudrey–Dodd– Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear ...
Acquiring the solitons of inhomogeneous Murnaghan’s rod using extended Kudryashov method with Bernoulli–Riccati approach
(World Scientific, 2022)
Abstract. In this scientific work, we explore the solutions of an important mathematical model appearing in the nonlinear elastic inhomogeneous Murnaghan's rod (NEIMR) or called doubly dispersive equation (DDE) with a ...
On the analytical optical soliton solutions of perturbed radhakrishnan–kundu–lakshmanan model with kerr law nonlinearity
(Springer Nature, 2022)
Abstract This paper carries out the analytical optical soliton solutions of perturbed Radhakrishnan– Kundu–Lakshmanan (pRKL) equation with Kerr law nonlinearity using an efcient modifed extended tanh expansion method, ...
The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh method
(IOP Publishing, 2021)
In this study, we investigate the nonlinear Zoomeron equation by using the extended rational sin − cos and sinh − cosh methods. We successfully constructed some important solutions such as singular periodic wave, periodic ...
Optical solitons and other solutions to the Radhakrishnan-Kundu-Lakshmanan equation
(Elsevier, 08.07.2021)
This paper studies the perturbed Radhakrishnan–Kundu–Lakshmanan (RKL) equation and its special form, the generalized RKL equation. Kerr law nonlinearity is considered for both equations. The Riccati-Bernoulli sub-ODE ...
Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice
(Elsevier, 02.04.2021)
A lump solution is a rational function solution which is real analytic and decays in all directions of space variables. The equation under consideration in this study is the (2 + 1)- dimensional generalized fifth-order KdV ...
New solitons and other solutions in saturated ferromagnetic materials modeled by Kraenkel - Manna - Merle system
(Indian Association for the Cultivation of Science (IACS), 01.2021)
Abstract: This study reveals some new solitons solutions to the Kraenkel–Manna–Merle (KMM) system which describes the nonlinear ultra-short wave pulse motions in saturated ferromagnetic materials having external field with ...
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense
(Elsevier, 2021)
Abstract The authors’ concern of the present paper is to conduct a systematic study on a time-fractional nonlinear water wave equation which is an evolutionary version of the Boussinesq system. The study goes on by adopting ...
