Multi-Peak and Propagation Behavior of M-Shape Solitons in (2 + 1)-Dimensional Integrable Schwarz-Korteweg-de Vries Problem
This paper examines the propagation of M-shape solitons and their interactions with kink
waves to the (2+ 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by …
waves to the (2+ 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by …
Conservation laws and exact solutions of a Generalized Benjamin–Bona–Mahony–Burgers equation
MS Bruzón, TM Garrido, R De la Rosa - Chaos, Solitons & Fractals, 2016 - Elsevier
The concept of nonlinear self-adjointness given by Ibragimov is applied to a Generalized
Benjamin–Bona–Mahony–Burgers equation. Then, a nonlinear self-adjoint classification …
Benjamin–Bona–Mahony–Burgers equation. Then, a nonlinear self-adjoint classification …
[HTML][HTML] Exploring multi-soliton patterns, bifurcation analysis, and chaos in (2+ 1) dimensions: A study on nonlinear dynamics
ZA Alhussain - Ain Shams Engineering Journal, 2024 - Elsevier
This study explores the intrinsic characteristics of the (2+ 1)-dimensional Schwarz-Korteweg-
de Vries equation used to describe shallow water waves. The multiple solitons are …
de Vries equation used to describe shallow water waves. The multiple solitons are …
[HTML][HTML] Computational simulations; Propagation behavior of the Riemann wave interacting with the long wave
MMA Khater - Journal of Ocean Engineering and Science, 2022 - Elsevier
The analytical solutions to the (2+ 1)-dimensional integrable Schwarz-Korteweg-de Vries
(SKdV) problem are investigated in this article. To get solitary wave formulae such as …
(SKdV) problem are investigated in this article. To get solitary wave formulae such as …
Darboux transformation and soliton solutions of the (2+ 1)-dimensional Schwarz–Korteweg–de Vries equation
X Li, M Zhang - Modern Physics Letters B, 2020 - World Scientific
In this paper, we deduce the (2+ 1)-dimensional Schwarz–Korteweg–de Vries equation from
two (1+ 1)-dimensional equations. Based on the resulting Lax pairs, we present its N-fold …
two (1+ 1)-dimensional equations. Based on the resulting Lax pairs, we present its N-fold …
Mathematical modeling and component generalization of -dimensional Schwarz–Kortweg–de Vries model in shallow water waves
F Shehzad, AR Seadawy, S Ahmed… - Modern Physics Letters …, 2024 - World Scientific
This work employs the sub-ODE method to compute new soliton solutions for the component
generalization of (2+ 1)-dimensional Schwarz–Kortweg–de Vries (SKdV) equation in …
generalization of (2+ 1)-dimensional Schwarz–Kortweg–de Vries (SKdV) equation in …
Analytic investigation of the (2+ 1)-dimensional Schwarzian Korteweg–de Vries equation for traveling wave solutions
İ Aslan - Applied mathematics and computation, 2011 - Elsevier
By means of the two distinct methods, the Exp-function method and the extended (G′/G)-
expansion method, we successfully performed an analytic study on the (2+ 1)-dimensional …
expansion method, we successfully performed an analytic study on the (2+ 1)-dimensional …
Computational and Numerical Solutions for (2+ 1)‐Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform
RAM Attia, SH Alfalqi, JF Alzaidi, MMA Khater… - …, 2020 - Wiley Online Library
This paper investigates the analytical, semianalytical, and numerical solutions of the (2+ 1)–
dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended …
dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended …
The (2+ 1)‐dimensional Schwarzian Korteweg–de Vries equation and its generalizations with discrete Lax matrices
W Liu, C Cao, X Yang, X Xu - Mathematical Methods in the Applied … - Wiley Online Library
By using the discrete Lax matrices corresponding to Q 1 (0) Q1 (0) and Q 1 (δ) Q1\left
(δ\right) in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish …
(δ\right) in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish …
Reductions of PDEs to first order ODEs, symmetries and symbolic computation
For ordinary differential equations which are polynomial in the dependent variable and its
derivatives, two methods are provided to find, if possible, reductions to first-order ordinary …
derivatives, two methods are provided to find, if possible, reductions to first-order ordinary …