Results 11 to 20 of about 64,375 (247)

Extended ⋁-systems and trigonometric solutions to the WDVV equations [PDF]

Journal of Mathematical Physics, 2021
Rational solutions of the Witten–Dijkgraaf–Verlinde–Verlinde (or WDVV) equations of associativity are given in terms of configurations of vectors, which satisfy certain algebraic conditions known as ⋁-conditions [A. P. Veselov, Phys. Lett. A 261, 297–302 (1999)]. The simplest examples of such configurations are the root systems of finite Coxeter groups.
Stedman, Richard, Strachan, Ian A.B.
openaire   +2 more sources

Nonlinear dispersion in parabolic law medium and its optical solitons

Results in Physics, 2021
This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE) involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using the generalized auxiliary equation technique.
Lanre Akinyemi, Hadi Rezazadeh, Shao-Wen Yao, M. Ali Akbar, Mostafa M.A. Khater, Adil Jhangeer, Mustafa Inc, Hijaz Ahmad   +7 more
doaj   +1 more source

New Interaction Solutions for a (2 + 1)-Dimensional Vakhnenko Equation

Complexity, 2020
In this paper, we focus on the interaction solutions of a (2 + 1)-dimensional Vakhnenko equation. By using Hirota’s transformation combined with the three-wave method and with symbolic computation, some interaction solutions which include interaction ...
Qing Meng, Bin He
doaj   +1 more source

The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation

Advances in Mathematical Physics, 2023
In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained ...
Yusuf Pandir, Tolga Akturk, Yusuf Gurefe, Hussain Juya   +3 more
doaj   +1 more source

Various Solitons and Other Wave Solutions to the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model

Axioms, 2023
This paper outlines a study into the exact solutions of the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to illustrate the ferromagnetic materials of magnetic ordering by applying two recent techniques, namely, the Sardar ...
Feng Shi, Kang-Jia Wang
doaj   +1 more source

Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G,1/G)-expansion and (1/G′)-expansion techniques

Results in Physics, 2020
In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-expansion and (G′/G,1/G)-expansion techniques. Both techniques have been successfully implemented to obtain exact solutions including hyperbolic, complex ...
Asíf Yokus, Hülya Durur, Hijaz Ahmad, Phatiphat Thounthong, Ying-Fang Zhang   +4 more
doaj   +1 more source

A Composite Algorithm for Numerical Solutions of Two-Dimensional Coupled Burgers’ Equations

Journal of Mathematics, 2021
In this study, a new composite algorithm with the help of the finite difference and the modified cubic trigonometric B-spline differential quadrature method is developed.
Vikas Kumar, Sukhveer Singh, Mehmet Emir Koksal   +2 more
doaj   +1 more source

Solitons, one line rogue wave and breather wave solutions of a new extended KP-equation

Results in Physics, 2023
The Kadomtsev–Petviashvili equation and its variants play a significant role in the description of several nonlinear phenomena arising in physics. In this paper, a new extension of the Kadomtsev–Petviashvili equation is considered.
Ghazala Akram, Iqra Zainab, Maasoomah Sadaf, Amelia Bucur   +3 more
doaj   +1 more source

On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization [PDF]

, 2007
We study classical twists of Lie bialgebra structures on the polynomial current algebra $\mathfrak{g}[u]$, where $\mathfrak{g}$ is a simple complex finite-dimensional Lie algebra.
A. A. Stolin, A. Connes, A.A. Belavin, A.A. Belavin, A.A. Belavin, A.A. Stolin, A.A. Stolin, A.P. Isaev, D.I. Panyushev, E. Cremmer, E. Karolinsky, G. Halbout, I. I. Pop, M. E. Samsonov, M. Gerstenhaber, M. Samsonov, M. Samsonov, P. Delorme, P. Etingof, P. Etingof, P. Etingof, P.P. Kulish, S. M. Khoroshkin, S.M. Khoroshkin, S.M. Khoroshkin, S.M. Khoroshkin, V. Dergachev, V. N. Tolstoy, V.G. Drinfeld, V.G. Drinfeld, V.G. Drinfeld, V.N. Tolstoy, V.N. Tolstoy   +32 more
core   +2 more sources

(G'/G,1/G)-expansion method for analytical solutions of Jimbo-Miwa equation

Cumhuriyet Science Journal, 2021
The main goal of this study is obtaining analytical solutions for (3+1)-dimensional Jimbo-Miwa Equation which the second equation in the well-known KP hierarchy of integrable systems.
Asıf Yokuş, Hülya Durur
doaj   +1 more source