Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type
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Publication:3056566
DOI10.1090/S0002-9947-2010-04982-7zbMath1202.35081MaRDI QIDQ3056566
Boyan Sirakov, Sérgio H. M. Soares
Publication date: 12 November 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)
Related Items (16)
SEPARATION OF COUPLED SYSTEMS OF SCHRODINGER EQUATIONS BY DARBOUX TRANSFORMATIONS ⋮ On ground state solutions for superlinear Hamiltonian elliptic systems ⋮ Fractional Hamiltonian type system on \(\mathbb{R}\) with critical growth nonlinearity ⋮ Hamiltonian elliptic systems involving nonlinear Schrödinger equations with critical growth ⋮ Multiple solutions for a superlinear and periodic elliptic system on \({\mathbb{R}^N}\) ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Semiclassical limits of ground state solutions to Schrödinger systems ⋮ Semi-classical solutions of perturbed elliptic system with general superlinear nonlinearity ⋮ Ground state solutions of Hamiltonian elliptic systems in dimension two ⋮ New asymptotically quadratic conditions for Hamiltonian elliptic systems ⋮ Existence of solitary waves for supercritical Schrödinger systems in dimension two ⋮ Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems ⋮ Ground states for planar Hamiltonian elliptic systems with critical exponential growth ⋮ Semiclassical states for coupled nonlinear Schrödinger system with competing potentials ⋮ Nonautonomous fractional Hamiltonian system with critical exponential growth ⋮ Existence of solutions for periodic elliptic system with general superlinear nonlinearity
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