Multi-soliton-type solutions of the generalized KdV equations
DOI10.1016/j.crma.2003.12.029zbMath1047.35119OpenAlexW1965223889MaRDI QIDQ1433385
Publication date: 15 June 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2003.12.029
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Cites Work
- Unnamed Item
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Stability and asymptotic stability for subcritical gKdV equations
- Existence of blow-up solutions in the energy space for the critical generalized KdV equation
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- The Korteweg–deVries Equation: A Survey of Results
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
- Asymptotic stability of solitons for subcritical generalized KdV equations
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