Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation
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Publication:6554775
DOI10.1134/S0040577924040056zbMATH Open1541.37083MaRDI QIDQ6554775
Publication date: 13 June 2024
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Soliton solutions (35C08)
Cites Work
- Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
- Particle and wave properties of solitons. Resonant and non-resonant soliton scattering by impurities
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Structure of a quantized vortex in boson systems
- Shelves and the Korteweg-de Vries equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Asymptotic theory of not completely integrable soliton equations
- Motion of dark solitons in a non-uniform flow of Bose-Einstein condensate
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