Zobrazeno 1 - 10
of 103 309
pro vyhledávání: '"Wave solutions"'
Autor:
Chen, Yuhui, Dallaston, Michael C.
We consider a two-component reaction-diffusion system that has previously been developed to model invasion of cells into a resident cell population. This system is a generalisation of the well-studied Fisher--KPP reaction diffusion equation. By expli
Externí odkaz:
http://arxiv.org/abs/2411.12232
Autor:
Kogan, Eugene
We obtain the exact analytical traveling wave solutions of the Kolmogorov-Petrovskii-Piskunov equation with the reaction term belonging to the class of functions, which includes that of the (generalized) Fisher equation, for the particular values of
Externí odkaz:
http://arxiv.org/abs/2410.12873
The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional evolution of a collision-free plasma in a magnetic field. First, using
Externí odkaz:
http://arxiv.org/abs/2410.07823
The $\mathcal{C}^{\infty}$-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Kuznetsov equation. This work unifies and generalizes the particular res
Externí odkaz:
http://arxiv.org/abs/2411.14024
We investigate the charge density wave phase in the strongly correlated Hubbard model without any other broken symmetry phase. Starting from the atomic Hamiltonian with no hopping, we generate quasiparticle operators corresponding to holons and doubl
Externí odkaz:
http://arxiv.org/abs/2410.09903
Autor:
Muhammad, Jan1 (AUTHOR), Younas, Usman1 (AUTHOR), Hussain, Ejaz2 (AUTHOR), Ali, Qasim3 (AUTHOR), Sediqmal, Mirwais4 (AUTHOR) msmm.200@gmail.com, Kedzia, Krzysztof5 (AUTHOR), Jan, Ahmed Zubair5 (AUTHOR)
Publikováno v:
Scientific Reports. 11/17/2024, Vol. 14 Issue 1, p1-13. 13p.
Autor:
Hereman, Willy, Göktaş, Ünal
Publikováno v:
Mathematical and Computational Applications 29(5), 91, 35pp (2024)
Using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations thereby establishing their complete i
Externí odkaz:
http://arxiv.org/abs/2408.07973
Autor:
Stevenson, Noah
We study periodic, two-dimensional, gravity-capillary traveling wave solutions to a viscous shallow water system posed on an inclined plane. While thinking of the Reynolds and Bond numbers as fixed and finite, we vary the speed of the traveling frame
Externí odkaz:
http://arxiv.org/abs/2407.03478
Autor:
Ali Althobaiti
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30972-30988 (2024)
This study examines a class of Boussinesq equations with sixth-order using two promising analytical methods. The equation in question is among the frontier evolution equations with significant relevance in nonlinear lattice dynamics. To study this mo
Externí odkaz:
https://doaj.org/article/7adfafb0d7a14f629ebbc9c94f54e641