Results 71 to 80 of about 23,327 (208)

Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative

Alexandria Engineering Journal
This work introduces two (3+1)-dimensional expansions of the Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. These extensions incorporate a second-order time-derivative term, similar to the Boussinesq equation. The Painlevé test is utilized to
Abdul-Majid Wazwaz, Weaam Alhejaili, R.T. Matoog, S.A. El-Tantawy   +3 more
doaj   +1 more source

Note on Nonlinear Schr\"odinger Equation, KdV Equation and 2D Topological Yang-Mills-Higgs Theory

, 2019
In this paper we discuss the relation between the (1+1)D nonlinear Schr\"odinger equation and the KdV equation. By applying the boson/vortex duality, we can map the classical nonlinear Schr\"odinger equation into the classical KdV equation in the small ...
Nian, Jun
core   +1 more source

Numerical simulation of a solitonic gas in KdV and KdV–BBM equations [PDF]

Physics Letters A, 2014
19 pages, 11 figures, 47 references. Other author's papers can be found at http://www.denys-dutykh.com/
Denys Dutykh, Efim Pelinovsky
openaire   +3 more sources

Exploration of Antiplasmodium Chemical Space Identifies New Inhibitors of β‐Hematin Formation from Areas of Enrichment

ChemMedChem, Volume 21, Issue 3, 12 February 2026.
An enrichment map, developed using principal components analysis (PCA), shows the relative abundance of inhibitors of synthetic hemozoin (β‐hematin) formation in antiplasmodium chemical space. This 2‐dimensional landscape can be mined to unearth new chemotypes for antimalarial drug development.
Jessica L. Thibaud, Dirkie C. Myburgh, Rebecca D. Sandlin, Kim Y. Fong, Larnelle F. Garnie, Kathryn J. Wicht, David Kuter, David W. Wright, Timothy J. Egan, Katherine A. de Villiers   +9 more
wiley   +1 more source

Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operator

, 1998
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields.
Ablowitz, Bellucci, Belluci, Brezin, Chaichian, Dargis, Das, Delduc, Delduc, Faddeev, Gross, Inami, Ivanov, Kulish, Labelle, Laberge, Manin, Mathieu, Oevel, Polyakov, Popowicz, Popowicz, Popowicz, Yung, Z. Popowicz   +24 more
core   +2 more sources

Traveling wave solution of fractional KdV-Burger-Kuramoto equation describing nonlinear physical phenomena

AIP Advances, 2014
In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional ...
A. K. Gupta, S. Saha Ray
doaj   +1 more source

Existence of Solitary Waves in a Perturbed KdV-mKdV Equation

Journal of Mathematics, 2021
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
doaj   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation

Advances in Mathematical Physics, 2015
A generalized (2+1)-dimensional variable-coefficient KdV equation is introduced, which can describe the interaction between a water wave and gravity-capillary waves better than the (1+1)-dimensional KdV equation.
Xiangrong Wang, Xiaoen Zhang, Yong Zhang, Huanhe Dong   +3 more
doaj   +1 more source

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon   +2 more
wiley   +1 more source