Large time asymptotics for the modified Korteweg-de Vries-Benjamin-Ono equation
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Publication:6604002
DOI10.1016/j.na.2024.113604zbMATH Open1547.35078MaRDI QIDQ6604002
Nakao Hayashi, Jesus A. Mendez-Navarro, Pavel I. Naumkin
Publication date: 12 September 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
Cites Work
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- On the long time behavior of a generalized KdV equation
- Dispersive blowup of solutions of generalized Korteweg-de Vries equations
- On the global well-posedness of the Benjamin-Ono equation
- Global existence of small solutions to nonlinear evolution equations
- Existence and uniqueness of solutions for the generalized Korteweg-de Vries equation
- Sur quelques généralisations de l'équation de Korteweg-de Vries
- Nonlinear scattering theory at low energy
- Long-time behavior of solutions to nonlinear evolution equations
- The Benjamin-Ono equation in weighted Sobolev spaces
- Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Gain of regularity for equations of KdV type
- On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
- Large time asymptotics of solutions to the generalized Korteweg-de Vries equation
- Existence and stability of solitary wave solutions of the Benjamin equation
- \(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
- On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation
- Analysis I. Integral presentations asymptotic methods
- On the (generalized) Korteweg-de Vries equation
- Nonlinear small data scattering for the generalized Korteweg-de Vries equation
- Dispersion of low-energy waves for two conservative equations
- Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
- Fractional nonlinear Schrödinger equation of order \(\alpha \in ( 0 , 1 )\)
- KdV is well-posed in \(H^{-1}\)
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Existence and stability of periodic travelling-wave solutions of the Benjamin equation
- Asymptotic stability of solitons for mKdV
- Well-posedness for the Benjamin equations
- Long time behavior of solutions to the mKdV
- GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION
- On the cauchy problem for the benjamin-ono equation
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- A new kind of solitary wave
- Large time asymptotics of solutions to the generalized Benjamin-Ono equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- On the Generalized Benjamin-Ono Equation
- Solitary-Wave Solutions of the Benjamin Equation
- Global, small amplitude solutions to nonlinear evolution equations
- Solitary and periodic waves of a new kind
- Unique Continuation Property for the Benjamin Equation
- A Class of Bounded Pseudo-Differential Operators
- Sharp well-posedness for the Benjamin--Ono equation
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