On the propagation of regularities in solutions of the fifth order Kadomtsev-Petviashvili II equation
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Publication:2315105
DOI10.1016/j.jmaa.2019.05.024zbMath1416.35085OpenAlexW2944984853MaRDI QIDQ2315105
Publication date: 31 July 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.05.024
Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for nonlinear higher-order PDEs (35G25)
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Cites Work
- Decay properties for solutions of fifth order nonlinear dispersive equations
- Well-posedness for the fifth order KP-II initial data problem in \(H^{s, 0}(\mathbb{R} \times \mathbb{T})\)
- On the propagation of regularities in solutions of the Benjamin-Ono equation
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Global well-posedness of the KP-I initial-value problem in the energy space
- Well-posedness of the fifth order Kadomtsev-Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices
- On the low regularity of the fifth order Kadomtsev-Petviashvili I equation
- On KP-II type equations on cylinders
- Stability of solitary waves in dispersive media described by a fifth- order evolution equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- The Cauchy problem for higher-order KP equations
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Solitary waves of generalized Kadomtsev-Petviashvili equations
- A rigorous link between KP and a Benney-Luke equation.
- Consistency of the KP approximation
- On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
- Non existence of \(L^2\)-compact solutions of the Kadomtsev-Petviashvili II equation
- The Cauchy problem for the fifth order KP equations
- Global well-posedness for the Kadomtsev-Petviashvili II equation
- On special regularity properties of solutions of the Zakharov-Kuznetsov equation
- On the local and global well-posedness theory for the KP-I equation
- Long-wave short-wave resonance for nonlinear geometric optics.
- Uniform decay estimates for a class of oscillatory integrals and applications
- Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
- A local well-posed result for the fifth order KP-II initial value problem
- On the regularity of solutions to a class of nonlinear dispersive equations
- Cauchy problem for the fifth order Kadomtsev-Petviashvili (KPII) equation
- LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
- KP description of unidirectional long waves. The model case
- On the Propagation of Regularity of Solutions of the Kadomtsev--Petviashvili Equation
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- The Kato-Ponce Inequality
- On the evolution of packets of water waves
- THE LONG WAVE LIMIT FOR A GENERAL CLASS OF 2DQUASILINEAR HYPERBOLIC PROBLEMS
- Weakly transverse Boussinesq systems and the Kadomtsev–Petviashvili approximation
- On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation
- Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
- Two-dimensional lumps in nonlinear dispersive systems
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- On equations of KP-type
- On the cauchy problem for kadomtsev-petviashvili equation
- The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations
- On the regularity of solutions to the 𝑘-generalized Korteweg-de Vries equation
- On a class of solutions to the generalized KdV type equation
- Global low-regularity solutions for Kadomtsev-Petviashvili equation
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