Stability of solitary waves in higher-order Sobolev spaces
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Publication:815083
DOI10.4310/CMS.2004.V2.N1.A3zbMath1089.35057MaRDI QIDQ815083
Jerry L. Bona, Nghiem V. Nguyen, Yue Liu
Publication date: 8 February 2006
Published in: Communications in Mathematical Sciences (Search for Journal in Brave)
solitary wavesnonlinear Schrödinger equationKorteweg-de Vries equationBenjamin-Ono equationorbital stability
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51)
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Isoinertial operators around the KdV multi-solitons ⋮ Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system ⋮ Stability of the multi-solitons of the modified Korteweg–de Vries equation * ⋮ Long-time stability of small FPU solitary waves ⋮ Stability of solitary waves for the vector nonlinear Schrödinger equation in higher-order Sobolev spaces
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