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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
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Traveling Wave Solution for a Hyperbolic Differential Equation
Lobachevskii Journal of MathematicsThe existence of weak and strong detonation waves for a version of the Majda's model is proved. In fact, the existence of traveling wave solutions for an exothermic combustion involving more than one reaction is studied.
Razani, Abdolrahman +1 more
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Traveling Waves as Limits of Solutions on Bounded Domains
SIAM Journal on Mathematical Analysis, 1996The authors study a scalar reaction-diffusion equation \(u_t=\varepsilon^2 u_{xx}-(u+a)(u^2-1)\) with homogeneous Neumann boundary conditions \(u_x=0, x=\pm 1\). The main interest of this paper is the limiting behavior of solutions as \(\varepsilon\to 0\) for large but finite \(t\).
Fusco, Giorgio +2 more
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Travelling wave solutions to the Kuramoto–Sivashinsky equation
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Travelling-wave solution in the Rapoport–Leas model
Analysis and Mathematical Physics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A travelling wave solution to the kolmogorov equation with noise
Stochastics and Stochastic Reports, 1996Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
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On Solutions of the Travelling Wave Type in a Transportation Model
Automation and Remote Control, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Traveling Wave Solutions for a Diffusive Age-Structured SIR Epidemic Model
Communications in Nonlinear Science and Numerical Simulation, 2021Cheng-Hsiung Hsu, Shi-Liang Wu
exaly

