Breather and rogue-wave solutions of the semi-discrete and continuous nonlinear Schrödinger equations on theta-function backgrounds

DOI10.1088/1361-6544/ad9794MaRDI QIDQ6654568

Xiangguo Geng, Ruomeng Li, Jingru Geng

Publication date: 20 December 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

Hirota bilinear methodDarboux transformationsBaker-Akhiezer functionsrogue waves on periodic backgroundssemi-discrete NLS equation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) NLS equations (nonlinear Schrödinger equations) (35Q55) Relationships between algebraic curves and integrable systems (14H70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Theta functions and curves; Schottky problem (14H42) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Completely integrable discrete dynamical systems (37J70)

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