Results 251 to 260 of about 10,323 (288)
Some of the next articles are maybe not open access.
Bifurcation and Traveling Wave Solutions for the Fokas Equation
International Journal of Bifurcation and Chaos, 2015This paper is devoted to discussing bifurcation and traveling wave solutions for the Fokas equation. By investigating the dynamical behavior with phase space analysis, we may derive all possible exact traveling wave solutions, including compactons, cuspons, periodic cusp wave solutions, and smooth solitary wave solutions.
Jibin Li 0001, Zhijun Qiao
openaire +2 more sources
Travelling wave solutions of the Fornberg–Whitham equation
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiyong Chen +3 more
openaire +1 more source
Periodic travelling-wave solution of brusselator
Acta Mathematicae Applicatae Sinica, 1988The author firstly gives the conditions such that a quartic algebraic equation has a pair of complex conjugate roots and a pair real roots, and all of the roots have strictly negative real part (Lemma 1-3). With that, he gives the conditions of coefficients of the characteristic equation which enables us to know the existence of the Hopf bifurcation ...
openaire +1 more source
Traveling Wave Solutions for a Combustion Problem
Studies in Applied Mathematics, 1989A simple model for combustion consisting of two parabolic equations is considered. It is shown that plane wave solutions exist. Certain invariant integrals are obtained, from which a nonexistence criterion is derived. The effect of the wave speed on the shape of the wave is deduced.
openaire +1 more source
Exact Traveling-Wave Solutions to Bidirectional Wave Equations
International Journal of Theoretical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
1996
This chapter deals with the existence of wave solutions in a system where spatial diffusion and temporal delay play a crucial role in determining the system’s spatio-temporal patterns and dynamics.
openaire +1 more source
This chapter deals with the existence of wave solutions in a system where spatial diffusion and temporal delay play a crucial role in determining the system’s spatio-temporal patterns and dynamics.
openaire +1 more source
Traveling wave solutions for reaction–diffusion systems
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Zhigui +2 more
openaire +2 more sources
2001
In this chapter we study model problems that lead to an important, special class of solutions called traveling wave solutions. Examining the behavior of these solutions can give insights into the role of competing mechanisms in a given problem, for example, reaction versus dispersion or advection versus dispersion.
openaire +1 more source
In this chapter we study model problems that lead to an important, special class of solutions called traveling wave solutions. Examining the behavior of these solutions can give insights into the role of competing mechanisms in a given problem, for example, reaction versus dispersion or advection versus dispersion.
openaire +1 more source
Travelling Wave Solutions for sine-Gordon Prototypes
International Journal of Nonlinear Sciences and Numerical Simulation, 2001Summary: By using finite difference discretization for the sine-Gordon equation, we obtain the sine-Gordon prototypes. For these prototypes, the existence of discrete periodic travelling wave solutions and discrete solitons are proved by the anti-integrable limit method.
Zheng, Yongai +2 more
openaire +1 more source
Explicit travelling-wave solutions
2004A number of explicit nontrivial monotonic travelling-wave solutions of the nonlinear reaction-convection-diffusion equation (1.1) have been discovered by various authors. It is not the intention here to provide a survey of all these. However, a few remarks on the possibilities offered by the now apparent correspondence between travelling-wave solutions
Brian H. Gilding, Robert Kersner
openaire +1 more source