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On the Numerical Simulation of Traveling Langmuir Waves in Warm Plasma
AbstractTraveling Langmuir waves are numerically simulated in a warm plasma using a kinetic description of the process. Waves of this type can be...
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Traveling waves and effective mass for the regularized Landau-Pekar equations
We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a...
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Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion
This paper is concerned with the convergence to sharp traveling waves of solutions with semi-compactly supported initial data for Burgers-Fisher-KPP...
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On monotone traveling waves for Nicholson’s blowflies equation with degenerate P-Laplacian diffusion
We study the existence and stability of monotone traveling wave solutions of Nicholson’s blowflies equation with degenerate p -Laplacian diffusion. We...
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Existence, regularity and symmetry of periodic traveling waves for Gardner–Ostrovsky type equations
We study the existence, regularity and symmetry of periodic traveling solutions to a class of Gardner–Ostrovsky type equations, including the...
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Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves
The Kawahara equation is a weakly nonlinear longwave model of dispersive waves that emerges when leading, third order, dispersive effects are in...
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Forced Traveling Waves in a Reaction-Diffusion Equation with Strong Allee Effect and Shifting Habitat
We study a reaction-diffusion equation that describes the growth of a population with a strong Allee effect in a bounded habitat which shifts at a...
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Solitary traveling waves in Fermi-Pasta-Ulam-type systems with nonlocal interaction on a 2D lattice
The article deals with the Fermi-Pasta-Ulam-type systems that describe an infinite system of particles with nonlocal interaction on a two-dimensional...
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Transverse Dynamics of Two-Dimensional Traveling Periodic Gravity–Capillary Water Waves
We study the transverse dynamics of two-dimensional traveling periodic waves for the gravity–capillary water-wave problem. The governing equations...
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Velocity diagram of traveling waves for discrete reaction–diffusion equations
We consider a discrete version of reaction-diffusion equations. A typical example is the fully overdamped Frenkel–Kontorova model, where the velocity...
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Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay
Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a...
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Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal...
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Solitons and Periodic Traveling Waves for a Hyperelastic Dispersive Equation
In this paper, we use a variational approach to show the analyticity of solitons (traveling waves of finite energy) and the existence of x -periodic...
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Traveling waves for a nonlinear Schrödinger system with quadratic interaction
We study traveling wave solutions for a nonlinear Schrödinger system with quadratic interaction. For the non mass resonance case, the system has no...
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Stability of Planar Traveling Waves for a Class of Lotka–Volterra Competition Systems with Time Delay and Nonlocal Reaction Term
In this paper, we consider the multidimensional stability of planar traveling waves for a class of Lotka–Volterra competition systems with time delay...
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Traveling Waves for a Sign-Changing Nonlocal Evolution Equation with Delayed Nonlocal Response
This paper deals with the existence of traveling wave solutions for a nonlocal evolution equation with delayed nonlocal response and sign-changing...
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Traveling Wave Method
AbstractA survey of the development of the traveling wave method for one-dimensional media is presented. The main results and changes in the...
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Existence of traveling solitary waves in Fermi–Pasta–Ulam-type systems with saturable nonlinearities on 2D-lattice
Systems of the Fermi–Pasta–Ulam type with saturable nonlinearities that describe infinite systems of particles on a two dimensional lattice have been...
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Traveling Waves in Two Distinct Equations: The (1+1)-Dimensional cKdV–mKdV Equation and The sinh-Gordon Equation
In this research work, two mathematical models, the (1+1)-dimensional cKdV–mKdV equation and the sinh-Gordon (shG) equation, are studied using an...
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On traveling waves of the quadratic-cubic Degasperis-Procesi equation
In this paper we are concerned with the traveling waves of the quadratic-cubic Degasperis-Procesi equation. Firstly, we demonstrate the question of...