A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida. [PDF]
J Math BiolTian C, Zou L, Ruan S.
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Bifurcation analysis and phase portraits for chiral solitons with bohm potential in quantum hall effect. [PDF]
MethodsXTang L +5 more
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Using Floquet theory to unravel far-from equilibrium dynamics in reaction-diffusion systems. [PDF]
PNAS NexusJuma VO +3 more
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Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]
Sci RepAghazadeh A, Lakestani M.
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Traveling Wave Solutions for Delayed Reaction–Diffusion Systems and Applications to Diffusive Lotka–Volterra Competition Models with Distributed Delays [PDF]
Journal of Dynamics and Differential Equations, 2014 This paper is concerned with the traveling wave solutions of delayed reaction– diffusion systems. By using Schauder’s fixed point theorem, the existence of traveling wave solutions is reduced to the existence of generalized upper and lower solutions ...
Guo Lin, Shigui Ruan, Ruan Shigui
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Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method
Results in Physics, 2014 The novel (G′/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations.
M G Hafez, Md Nur Alam, M Ali Akbar
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International Journal of Bifurcation and Chaos, 2013We investigate the traveling wave solutions of the Green–Naghdi system. Using the qualitative analysis methods of planar autonomous systems, we show not only its phase portraits but also the exact expressions of some bounded wave solutions. These results are a complement of the work by Deng et al.
Shengfu Deng, Boling Guo, Tingchun Wang
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Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations
SIAM Journal on Mathematical Analysis, 1982We consider scalar equations $u_t = f(u_{xx} ,u_x ,u)$ with $\frac{\partial }{{\partial \alpha }}f(\alpha ,\beta ,\gamma ) \geq 1$. We first determine the stability of the monotonic traveling wave solutions $u(t,x) = \phi (x - ct,c)$. We then study the continued existence and bifurcations of these solutions as the wavespeed c varies.
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