A SYSTEM OF COUPLED SCHRÖDINGER EQUATIONS WITH TIME-OSCILLATING NONLINEARITY

DOI10.1142/S0129167X12501194zbMath1401.35281OpenAlexW2157596414MaRDI QIDQ4908359

Pedro Gamboa, Xavier Carvajal, Mahendra Panthee

Publication date: 5 March 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12501194

zbMATH Keywords

well-posednessinitial value problemSchrödinger equationStrichartz estimate

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (1)

ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING

Cites Work

• Remarks on proofs of conservation laws for nonlinear Schrödinger equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• A Schrödinger equation with time-oscillating nonlinearity
• ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Blow-up profile to the solutions of two-coupled Schrödinger equations
• On the blow-up threshold for weakly coupled nonlinear Schrödinger equations
• Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system
• Shape-changing collisions of coupled bright solitons in birefringent optical fibers.

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