Results 41 to 50 of about 424 (94)
Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
doaj +1 more source
Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient [PDF]
, 2014 Several mathematical models of tumor growth are now commonly used to explain medical observations and predict cancer evolution based on images. These models incorporate mechanical laws for tissue compression combined with rules for nutrients availability
Perthame, Benoît +2 more
core +4 more sources
Demonstratio MathematicaThis research aims to derive novel soliton solutions for a complex hyperbolic Schrödinger equation with a truncated M-fractional derivative. The selected equation is pivotal for its application in modeling various physical phenomena, such as nonlinear ...
Demirbilek Ulviye +2 more
doaj +1 more source
Asymptotic Spreading Fastened by Inter-Specific Coupled Nonlinearities: a Cooperative System
, 2012 This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system ...
Lin, Guo
core +1 more source
Advances in Nonlinear AnalysisThis article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj +1 more source
On interfaces between cell populations with different mobilities [PDF]
, 2017 Partial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between
Lorenzi, Tommaso +2 more
core +3 more sources
Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations [PDF]
, 2016 This paper investigates the existence of generalized transition fronts for Fisher-KPP equations in one-dimensional, almost periodic media. Assuming that the linearized elliptic operator near the unstable steady state admits an almost periodic ...
Nadin, Grégoire, Rossi, Luca
core +5 more sources
Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity [PDF]
, 2014 This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity.
Pan, Shuxia
core
Absorbing boundary conditions for the Westervelt equation [PDF]
, 2014 The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions.
A. Majda +31 more
core +1 more source
Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]
, 2014 This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
core