Some generalizations of the Kadomtsev-Petviashvili equations

DOI10.1006/jmaa.1999.6661zbMath0947.35144OpenAlexW2095512984MaRDI QIDQ1972557

Michael Mudi Tom

Publication date: 11 April 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6661

zbMATH Keywords

Cauchy problemHilbert transformexistence of global solutionsexistence of local solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation, Comparison of KP and BBM-KP models, Instability and blow-up of solutions of the fifth-order KP equation, Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equa\-tions, The Cauchy problem and stability of solitary-wave solutions for RLW--KP-type equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation
• Stability theory of solitary waves in the presence of symmetry. I
• Periodic solutions of Kadomtsev-Petviashvili
• Sur quelques généralisations de l'équation de Korteweg-de Vries
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Recent results on the generalized Kadomtsev-Petviashvili equations
• Local solution for the Kadomtsev-Petviashvili equation in \(\mathbb{R}^ 2\)
• Fully discrete galerkin methods for the korteweg-de vries equation
• Commutator estimates and the euler and navier-stokes equations
• Nonlinear Schrödinger evolution equations
• On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations