An exact solution for travelling waves of \(u_ t=Du_{xx}+u-u^ k\)
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Publication:1070114
DOI10.1016/0167-2789(84)90018-6zbMath0583.35056OpenAlexW2034463555MaRDI QIDQ1070114
Publication date: 1984
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(84)90018-6
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
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- Explicit solutions of Fisher's equation for a special wave speed
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- The Painlevé property for partial differential equations
- A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
- The approach of solutions of nonlinear diffusion equations to travelling wave solutions
- On a Nonlinear Diffusion Equation Describing Population Growth