Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

H Ahmad, AR Seadawy, TA Khan… - Journal of Taibah …, 2020 - Taylor & Francis
In this paper, modified variational iteration algorithm-II is investigated for finding approximate
solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B …

New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation method

D Chou, H Ur Rehman, A Amer, A Amer - Optical and Quantum Electronics, 2023 - Springer
In this study, Sardar sub-equation method is employed to obtain the solitary wave solutions
for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions …

On solitary wave solutions for the perturbed Chen–Lee–Liu equation via an analytical approach

H Esen, N Ozdemir, A Secer, M Bayram - Optik, 2021 - Elsevier
In this paper, the perturbed Chen–Lee–Liu equation is presented. Sardar subequation
method is implemented to retrieve the novel analytical solutions of the given equation …

[HTML][HTML] Novel anlytical solution to the damped Kawahara equation and its application for modeling the dissipative nonlinear structures in a fluid medium

NH Aljahdaly, SA El-Tantawy - Journal of Ocean Engineering and Science, 2022 - Elsevier
A novel approximate analytical solution to the linear damped Kawahara equation using a
suitable hypothesis is reported for the first time. Based on the exact solutions (such as …

[HTML][HTML] Solitary wave solutions for the variable-coefficient coupled nonlinear Schrödinger equations and Davey–Stewartson system using modified sine-Gordon …

RM El-Shiekh, M Gaballah - Journal of Ocean Engineering and Science, 2020 - Elsevier
In this study, the sine-Gordon equation method is modified to deal with variable-coefficient
systems containing imaginary parts, such as nonlinear Schrödinger systems. These are of …

[HTML][HTML] The new solitary wave structures for the (2+ 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional …

MN Alam, C Tunç - Alexandria Engineering Journal, 2020 - Elsevier
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation
and Schrodinger equation. We perform a new method to take some new solitary wave …

[HTML][HTML] An efficient technique of G′ G–expansion method for modified KdV and Burgers equations with variable coefficients

SK Mohanty, S Kumar, AN Dev, MK Deka, DV Churikov… - Results in Physics, 2022 - Elsevier
The extended generalized G′ G–expansion is well defined and an efficient technique,
which is used to obtain the exact traveling wave solutions to the governing nonlinear …

[HTML][HTML] Exact traveling wave solutions of the Schamel Burgers' equation by using generalized-improved and generalized G′ G expansion methods

SK Mohanty, OV Kravchenko, AN Dev - Results in Physics, 2022 - Elsevier
Abstract The Schamel Burgers' equation is a nonlinear partial differential equation which
produces the shock type traveling waves in extraordinary physical situations. Previously, this …

[HTML][HTML] On some novel solution solutions to the generalized Schrödinger-Boussinesq equations for the interaction between complex short wave and real long wave …

D Kumar, K Hosseini, MKA Kaabar, M Kaplan… - Journal of Ocean …, 2022 - Elsevier
This paper explores some novel solutions to the generalized Schrödinger-Boussinesq
(gSBq) equations, which describe the interaction between complex short wave and real long …

Constructions of the optical solitons and other solitons to the conformable fractional Zakharov–Kuznetsov equation with power law nonlinearity

MN Alam, C Tunç - Journal of Taibah University for Science, 2020 - Taylor & Francis
The current research manifests kink wave answers, mixed singular optical solitons, the
mixed dark-bright lump answer, the mixed dark-bright periodic wave answer, and periodic …