On the stability of KdV multi-solitons.
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Publication:601656
zbMath1212.35380MaRDI QIDQ601656
Jerry L. Bona, John P. Albert, Nghiem V. Nguyen
Publication date: 28 October 2010
Published in: Differential and Integral Equations (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear effects in hydrodynamic stability (76E30) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (7)
Multisolitons are the unique constrained minimizers of the KdV conserved quantities ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Stability of the multi-solitons of the modified Korteweg–de Vries equation * ⋮ The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation ⋮ IST Versus PDE: A Comparative Study ⋮ Orbital stability of KdV multisolitons in \(H^{-1}\) ⋮ \(L^2\)-stability of multi-solitons
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