Construction of multi-solitons for a generalized derivative nonlinear Schrödinger equation
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Publication:6652539
DOI10.1007/s10884-023-10247-5MaRDI QIDQ6652539
Publication date: 12 December 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
fixed point methodStrichartz estimatesmulti-solitonsGrönwall inequalitynonlinear derivative Schrödinger equations
Fixed-point theorems (47H10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Well-posedness for a generalized derivative nonlinear Schrödinger equation
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- Stability of solitary waves for derivative nonlinear Schrödinger equation
- Stability theory of solitary waves in the presence of symmetry. II
- Stability theory of solitary waves in the presence of symmetry. I
- Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
- Stability of the sum of two solitary waves for (gDNLS) in the energy space
- Stability and asymptotic stability for subcritical gKdV equations
- Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations
- Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case
- Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- Infinite soliton and kink-soliton trains for nonlinear Schrödinger equations
- Stability of multisolitons for the derivative nonlinear Schrödinger equation
- On the nonlinear Schrodinger equations of derivative type
- Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations
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