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Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
homoclinic bifurcation singular perturbation
2015/8/25
This paper investigates travelling wave solutions of the FitzHugh–Nagumo equation from the viewpoint
of fast-slow dynamical systems. These solutions are homoclinic orbits of a three dimensional
vect...
Three solutions to a class of p(x)-Laplace equation based on Nehari skill
Critical points p(x)-Laplacian Integral functional Generalized Lebesgue-Sobolev spaces
2011/10/10
In this paper, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation-p(x)-Laplacian equation in a smooth bounded domain with nonlinear boundary condition or...
Symmetries for the Ablowitz-Ladik hierarchy: II. Integrable discrete nonlinear Schrödinger equation and discrete AKNS hierarchy
Ablowitz-Ladik hierarchy nonlinear Schrö dinger equation discrete AKNS hierarchy
2010/4/8
In the paper we continue to consider symmetries related to the Ablowitz-Ladik hierarchy. We derive symmetries for the integrable discrete nonlinear Schr\"odinger hierarchy and discrete AKNS hierarchy....