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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 …
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
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 …
the unique solution in the presence of the auxiliary data. Hence, this study provides an …
Physics and Lie symmetry informed Gaussian processes
D Dalton, D Husmeier, H Gao - Forty-first International Conference …, 2024 - openreview.net
Physics-informed machine learning (PIML) has established itself as a new scientific
paradigm which enables the seamless integration of observational data with partial …
paradigm which enables the seamless integration of observational data with partial …
The conserved vectors and solitonic propagating wave patterns formation with Lie symmetry infinitesimal algebra
In this study, the generalized perturbed-KdV partial differential equation is examined.
Furthermore, symmetry generators address the Lie invariance criteria. The suggested …
Furthermore, symmetry generators address the Lie invariance criteria. The suggested …
Soliton wave profiles and dynamical analysis of fractional Ivancevic option pricing model
This study dynamically investigates the mathematical Ivancevic option pricing governing
system in terms of conformable fractional derivative, which illustrates a confined Brownian …
system in terms of conformable fractional derivative, which illustrates a confined Brownian …
[HTML][HTML] Bifurcation of exact solutions for the space-fractional stochastic modified Benjamin–Bona–Mahony equation
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 …
solutions of the space-fractional stochastic dispersive modified Benjamin–Bona–Mahony …
Integrability, variational principle, bifurcation, and new wave solutions for the Ivancevic option pricing model
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 …
depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation …
[HTML][HTML] Cubic trigonometric B-spline differential quadrature method for numerical treatment of Fisher's reaction-diffusion equations
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 …
by using a hybrid numerical method. In this method, the combination of cubic trigonometric B …
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 …
spline (TCB) collocation method to solve nonlinear Fisher's type equations. Taylor series …
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 …
investigate hybrid localized wave solutions with different forms for the generalized Calogero …