Zobrazeno 1 - 10
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pro vyhledávání: '"travelling-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
The Black-Scholes framework is crucial in pricing a vast number of financial instruments that permeate the complex dynamics of world markets. Associated with this framework, we consider a second-order differential operator $L(x, {\partial_x}) := v^2(
Externí odkaz:
http://arxiv.org/abs/2412.19020
Autor:
Kogan, Eugene
Publikováno v:
Symmetry 16, 1621 (2024)
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
Akademický článek
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Autor:
Deléage, Émile, Mehmood, Muhammed Ali
We prove the non-linear stability of a class of travelling-wave solutions to the extended Aw-Rascle system with a singular offset function, which is formally equivalent to the compressible pressureless Navier-Stokes system with a singular viscosity.
Externí odkaz:
http://arxiv.org/abs/2404.17406
Exact Travelling Wave Solutions using Tanh Method for two-dimensional Stochastic Allen-Cahn equation
Autor:
Alzubaidi, Hasan
Exact travelling wave solutions to the two-dimensional stochastic Allen-Cahn equation with multiplicative noise are obtained through the hyperbolic tangent (tanh) method. This technique limits the solutions to travelling wave profiles by representing
Externí odkaz:
http://arxiv.org/abs/2312.03685
Autor:
Gu, Yongyi1 (AUTHOR), Zhang, Xiaoting2 (AUTHOR) zhangxiaoting1985@163.com, Huang, Zhishang1 (AUTHOR), Peng, Liudi1 (AUTHOR), Lai, Yongkang1 (AUTHOR), Aminakbari, Najva3 (AUTHOR)
Publikováno v:
Scientific Reports. 9/13/2024, Vol. 14 Issue 1, p1-14. 14p.
Autor:
Guo, Lintao1 (AUTHOR), Xin, Hua1 (AUTHOR) xinhuayatou@126.com
Publikováno v:
Pramana: Journal of Physics. Sep2024, Vol. 98 Issue 3, p1-7. 7p.
Autor:
Bonnivard, Matthieu, Mecherbet, Amina
In this paper, we investigate the instability of the spherical travelling wave solutions for the Transport-Stokes system in $\mathbb{R}^3$. First, a classical scaling argument ensures instability among all probability measures for the Wasserstein met
Externí odkaz:
http://arxiv.org/abs/2311.14555
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100815- (2024)
In this study, we investigate the travelling wave solutions of the (2+1)-dimensional new generalized Korteweg–de Vries equation by employing Lie group analysis along with various techniques which include direct integration, simplest equation method
Externí odkaz:
https://doaj.org/article/dba9e553e0874db98c281386c0920a10