Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schr dinger equation

DOI10.1088/0951-7715/16/3/308zbMath1033.35118OpenAlexW2172213220MaRDI QIDQ4430682

Vivi Rottschäfer, Tasso J. Kaper

Publication date: 12 October 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/3/308

zbMATH Keywords

existencesingular perturbationself-similar solutionslocal uniquenessMelnikov theorymidrangeelliptic behaviourhyperbolic behaviourmulti-bump orbitsnonlinear, nonautonomous ordinary differential equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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