Generating new symmetric bi-peakon and singular bi-periodic profile solutions to the generalized doubly dispersive equation
M Alquran, T Al Smadi - Optical and Quantum Electronics, 2023 - Springer
This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …
dispersive equation through the use of two effective integration schemes: the modified …
[HTML][HTML] On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations
In this study, we delve into the exploration of the (2+ 1)-dimensional potential Kadomtsev-
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
Dynamical study of coupled Riemann wave equation involving conformable, beta, and M-truncated derivatives via two efficient analytical methods
In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation
method (MAEM) are used to investigate the solitary wave solutions of the nonlinear coupled …
method (MAEM) are used to investigate the solitary wave solutions of the nonlinear coupled …
Exploring cone-shaped solitons, breather, and lump-forms solutions using the lie symmetry method and unified approach to a coupled breaking soliton model
S Kumar, SK Dhiman - Physica Scripta, 2024 - iopscience.iop.org
In this research article, we investigate the coupled breaking soliton (cBS) model using two
distinct analytical methods, namely, the Lie symmetry approach and the Unified method. We …
distinct analytical methods, namely, the Lie symmetry approach and the Unified method. We …
[PDF][PDF] Exploring novel optical soliton solutions for the 5 stochastic chiral nonlinear Schrödinger equation: 6 Stability analysis and impact of parameters 7
SMR Islam, SMY Arafat - 2024 - researchgate.net
The primary aim of this investigation is to uncover novel optical soliton solutions (OSSs) 26
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …
and conduct a comprehensive stability analysis of a particular model. The extraction of 27 …
Stability analysis, phase plane analysis, and isolated soliton solution to the LGH equation in mathematical physics
In this article, we investigated the Landau–Ginzburg–Higgs (LGH) equation, focusing on the
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …
Structure of Analytical and Numerical Wave Solutions for the Nonlinear (1+ 1)-Coupled Drinfel'd–Sokolov–Wilson System Arising in Shallow Water Waves
SH Alhejaili, A Alharbi - Mathematics, 2023 - mdpi.com
In this article, we successfully obtain novel solutions for the coupled Drinfel'd–Sokolov–
Wilson DSW system utilizing various methods. These include soliton solutions characterized …
Wilson DSW system utilizing various methods. These include soliton solutions characterized …
Novel exact solutions to a coupled Schrödinger–KdV equations in the interactions of capillary–gravity waves
MS Hashemi, AM Wazwaz - Optical and Quantum Electronics, 2023 - Springer
This paper explores the interactions of capillary–gravity waves by presenting novel exact
solutions to a coupled Schrödinger–KdV equation. The authors introduce a reduction …
solutions to a coupled Schrödinger–KdV equation. The authors introduce a reduction …
Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi Elliptic function expansion method
This paper focuses on the Kuralay-II equation, a prominent nonlinear evolutionary equation
used in various scientific fields. Our goal was to determine exact solutions to this equation by …
used in various scientific fields. Our goal was to determine exact solutions to this equation by …
Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel'd–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques
The time-fractional coupled Drinfel'd–Sokolov–Wilson (DSW) equation is pivotal in soliton
theory, especially for water wave mechanics. Its precise description of soliton phenomena in …
theory, especially for water wave mechanics. Its precise description of soliton phenomena in …