On the asymptotic behavior of solutions to the (generalized) Kadomtsev-Petviashvili-Burgers equations

DOI10.1006/jdeq.1998.3522zbMath0927.35095OpenAlexW2091059700MaRDI QIDQ1283885

Luc Molinet

Publication date: 26 May 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3522

zbMATH Keywords

2D-Kadomtsev-Petviashvili equationsBurgers-type dissipationtemporal asymptotic decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Strong instability of solitary-wave solutions to a Kadomtsev-Petviashvili equation in three dimensions, The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations, Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations, Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation, Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D, Global well-posedness for the KP-II equation on the background of a non-localized solution, Global well-posedness for the KP-I equation on the background of a non-localized solution, Stability of the line soliton of the KP-II equation under periodic transverse perturbations, Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's, Global well-posedness in the energy space for a modified KP II equation via the Miura transform, On the solution of the coupled Schrödinger-KdV equation by the decomposition method, Local and global well-posedness in the energy space for the dissipative Zakharov-Kuznetsov equation in 3D

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