Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

L Akinyemi, M Şenol, OS Iyiola - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

[HTML][HTML] Nonlinear dispersion in parabolic law medium and its optical solitons

L Akinyemi, H Rezazadeh, SW Yao, MA Akbar… - Results in Physics, 2021 - Elsevier
This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE)
involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using …

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

D Kumar, AR Seadawy, AK Joardar - Chinese journal of physics, 2018 - Elsevier
In this study, the modified Kudryashov method is used to construct new exact solutions for
some conformable fractional differential equations. By implementing the conformable …

Dynamical behaviour of Chiral nonlinear Schrödinger equation

L Akinyemi, M Inc, MMA Khater… - Optical and Quantum …, 2022 - Springer
In this work, we study the exact traveling wave solutions of (2+ 1)-dimensional Chiral
nonlinear Schrödinger equation with the aid of generalized auxiliary equation method. The …

[HTML][HTML] Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system

A Ali, J Ahmad, S Javed - Alexandria Engineering Journal, 2023 - Elsevier
In this article, we discuss various solitary wave solutions that are extremely important in
applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we …

[HTML][HTML] Optical soliton solutions of the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation with the parabolic law

W Gao, HF Ismael, AM Husien, H Bulut, HM Baskonus - Applied Sciences, 2019 - mdpi.com
Featured Application The optical soliton solutions obtained in this research paper may be of
concern and useful in many fields of science, such as mathematical physics, applied …

Application of homotopy perturbation method to nonlinear wave equations

JH He - Chaos, Solitons & Fractals, 2005 - Elsevier
Application of homotopy perturbation method to nonlinear wave equations - ScienceDirect Skip
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[HTML][HTML] M-lump, N-soliton solutions, and the collision phenomena for the (2+ 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

HF Ismael, H Bulut, C Park, MS Osman - Results in Physics, 2020 - Elsevier
In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision
phenomena between one-M-lump and one-, two-soliton solutions to the (2+ 1)-dimensional …

Application of the (G′ G)-expansion method for nonlinear evolution equations

A Bekir - Physics Letters A, 2008 - Elsevier
In this work, we established abundant travelling wave solutions for some nonlinear evolution
equations. This method was used to construct travelling wave solutions of nonlinear …

The exact solutions for the nonlocal Kundu-NLS equation by the inverse scattering transform

Y Li, B Hu, L Zhang, J Li - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we mainly investigate soliton solutions for the nonlocal Kundu-nonlinear
Schrödinger (Kundu-NLS) equation by the inverse scattering transform. The inverse …