Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity
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Publication:1902051
DOI10.2996/kmj/1138043354zbMath0868.35111OpenAlexW1965929809MaRDI QIDQ1902051
Publication date: 1995
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1138043354
Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- Remarks on blowing-up of solutions for some nonlinear Schrödinger equations
- The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
- Stability of the soliton-like ``bubbles
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Instability of nonlinear bound states
- Stability theory of solitary waves in the presence of symmetry. I
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Stability and instability of solitary waves for one-dimensional singular Schrödinger equations
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
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