[HTML][HTML] Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations
(NFPDEs) has gained prominence recently because of its ability to realistically recreate …
(NFPDEs) has gained prominence recently because of its ability to realistically recreate …
Lie-bäcklund symmetry, soliton solutions, chaotic structure and its characteristics of the extended (3+ 1) dimensional Kairat-II model
Abstract This study investigates the (3+ 1)-dimensional extended Kairat-II model using Lie-
Bäcklund symmetry (LBS) and the improved modified extended tanh-function approach …
Bäcklund symmetry (LBS) and the improved modified extended tanh-function approach …
Exploring novel solitary wave phenomena in Klein–Gordon equation using model expansion method
In this study, the ϕ 6-model expansion method is showed to be useful for finding solitary
wave solutions to the Klein–Gordon (KG) equation. We develop a variety of solutions …
wave solutions to the Klein–Gordon (KG) equation. We develop a variety of solutions …
[HTML][HTML] Exploring Solitons Solutions of a (3+ 1)-Dimensional Fractional mKdV-ZK Equation
This study presents the application of the ϕ 6 model expansion technique to find exact
solutions for the (3+ 1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov …
solutions for the (3+ 1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov …
[HTML][HTML] Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in …
This article implements the Hirota bilinear (HB) transformation technique to the Landau–
Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation …
Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation …
Breathing wave solutions and Y-type soliton soluions of the new (3+ 1)-dimensional pKP-BKP equation
H Luo, C Guo, Y Guo, J Cui - Nonlinear Dynamics, 2024 - Springer
In this paper, we investigate the exact solutions of the (3+ 1)-dimensional pKP-BKP equation
for describing certain nonlinear fluctuation phenomena in nonlinear optics, plasma physics …
for describing certain nonlinear fluctuation phenomena in nonlinear optics, plasma physics …
Solitons in ultrasound imaging: Exploring applications and enhancements via the Westervelt equation
Ultrasound imaging stands as a cornerstone of modern medical diagnostics, revolutionising
clinical practice with its non-invasive, real-time visualisation of internal structures. Central to …
clinical practice with its non-invasive, real-time visualisation of internal structures. Central to …
[HTML][HTML] Optical solitons solution for the perturbed nonlinear Schrödinger's equation
In this manuscript, the perturbed nonlinear Schrödinger's equation (PNLSE) is considered,
which has many implications in various fields such as ferromagnetic material, nonlinear …
which has many implications in various fields such as ferromagnetic material, nonlinear …
[HTML][HTML] Soliton Solutions and Chaotic Dynamics of the Ion-Acoustic Plasma Governed by a (3+ 1)-Dimensional Generalized Korteweg–de Vries–Zakharov–Kuznetsov …
This study explores the novel dynamics of the (3+ 1)-dimensional generalized Korteweg–de
Vries–Zakharov–Kuznetsov (KdV-ZK) equation. A Galilean transformation is employed to …
Vries–Zakharov–Kuznetsov (KdV-ZK) equation. A Galilean transformation is employed to …
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media
Abstract The Chaffee–Infante (CI) equation is a nonlinear equation that may be used to
predict the complex dynamics of soliton propagation in a nonlinear optical medium. In this …
predict the complex dynamics of soliton propagation in a nonlinear optical medium. In this …