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Exact Traveling-Wave Solutions to Bidirectional Wave Equations
International Journal of Theoretical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic travelling wave solutions of nonlinear wave equations
Nonlinear Analysis: Theory, Methods & Applications, 1999Periodic traveling wave solutions to the nonlinear wave equation with periodic boundary condition are considered. A result of Bourgain for the semilinear cubic wave equation is extended.
Shi, Yuming, Li, Ta-tsien, Qin, Tiehu
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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.
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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.
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Exact nonlinear travelling hydromagnetic wave solutions
Acta Mechanica, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatachalappa, M +2 more
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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.
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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.
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Traveling Wave Solutions for Triki-Biswas Equation
Journal of Dynamical and Control SystemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenxia Wang, Jianli Liang
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New type of travelling wave solutions
Mathematical Methods in the Applied Sciences, 2003AbstractWe study the existence of combustion waves for an autocatalytic reaction in the non‐adiabatic case. Based on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly perturbed differential equations the existence of a new type of ...
Shchepakina, Elena A. +2 more
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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.
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Algebraic Traveling Wave Solutions, Darboux Polynomials and Polynomial Solutions
Qualitative Theory of Dynamical Systems, 2017A traveling wave solution \(u= U(x-ct)\) of a partial differential equation \(u_{xx}= F(u,u_x,u_t)\) is called an algebraic traveling wave solution if there exists a polynomial \(p\) such that \(p(U,U')= 0\). The author completely characterizes the existence of algebraic traveling wave solutions of the partial differential equation \[ u_t= du_{xx}- a(u-
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A New Integrable Hierarchy, Parametric Solutions and Traveling Wave Solutions
Mathematical Physics, Analysis and Geometry, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Zhijun, Li, Shengtai
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