Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+ 1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation …

TY Zhou, B Tian, Y Shen, XT Gao - Nonlinear Dynamics, 2023 - Springer
Abstract In this paper, a (3+ 1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-
Schif equation in a fluid is investigated. By the virtue of the truncated Painlevé expansion, a …

Comparative analysis of numerical and newly constructed soliton solutions of stochastic Fisher-type equations in a sufficiently long habitat

MZ Baber, AR Seadway, MS Iqbal… - … Journal of Modern …, 2023 - World Scientific
This paper is a key contribution with respect to the applications of solitary wave solutions to
the unique solution in the presence of the auxiliary data. Hence, this study provides an …

Hybrid localized wave solutions for a generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system in a fluid or plasma

PF Han, T Bao - Nonlinear Dynamics, 2022 - Springer
Based on the long wave limit method and complex conjugate condition technique, we
investigate hybrid localized wave solutions with different forms for the generalized Calogero …

The conserved vectors and solitonic propagating wave patterns formation with Lie symmetry infinitesimal algebra

U Asghar, MI Asjad, WA Faridi… - Optical and Quantum …, 2024 - Springer
In this study, the generalized perturbed-KdV partial differential equation is examined.
Furthermore, symmetry generators address the Lie invariance criteria. The suggested …

Integrability, variational principle, bifurcation, and new wave solutions for the Ivancevic option pricing model

AA Elmandouh, ME Elbrolosy - Journal of Mathematics, 2022 - Wiley Online Library
The Ivancevic option pricing model comes as an alternative to the Black‐Scholes model and
depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation …

Bifurcation of exact solutions for the space-fractional stochastic modified Benjamin–Bona–Mahony equation

A Elmandouh, E Fadhal - Fractal and Fractional, 2022 - mdpi.com
This paper studies the influence of space-fractional and multiplicative noise on the exact
solutions of the space-fractional stochastic dispersive modified Benjamin–Bona–Mahony …

[HTML][HTML] Cubic trigonometric B-spline differential quadrature method for numerical treatment of Fisher's reaction-diffusion equations

M Tamsir, N Dhiman, VK Srivastava - Alexandria engineering journal, 2018 - Elsevier
This paper concerns through the numerical treatment of Fisher's reaction-diffusion equation
by using a hybrid numerical method. In this method, the combination of cubic trigonometric B …

Soliton wave profiles and dynamical analysis of fractional Ivancevic option pricing model

A Jhangeer, WA Faridi, M Alshehri - Scientific Reports, 2024 - nature.com
This study dynamically investigates the mathematical Ivancevic option pricing governing
system in terms of conformable fractional derivative, which illustrates a confined Brownian …

A collocation technique based on modified form of trigonometric cubic B-spline basis functions for Fisher's reaction-diffusion equation

N Dhiman, M Tamsir - Multidiscipline Modeling in Materials and …, 2018 - emerald.com
Purpose The purpose of this paper is to present a modified form of trigonometric cubic B-
spline (TCB) collocation method to solve nonlinear Fisher's type equations. Taylor series …

Lax integrability and exact solutions of the generalized (3+ 1) dimensional Ito equation

T Shen, T Bao - Nonlinear Dynamics, 2023 - Springer
This article introduces a generalized (3+ 1) dimensional integrable Ito equation based on
relevant literatures. Firstly, the bilinear form of the equation is obtained by Bell polynomial …