The Darboux Transformation for NLS-MB Equations
From MaRDI portal
Publication:2838424
DOI10.1088/0253-6102/38/4/493zbMath1267.81306OpenAlexW2066424170MaRDI QIDQ2838424
Yi-Shen Li, Yi. Cheng, Jing-Song He
Publication date: 9 July 2013
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0253-6102/38/4/493
Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (15)
Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers ⋮ The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations ⋮ On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential ⋮ Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach ⋮ Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential ⋮ Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell–Bloch system ⋮ Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy ⋮ Periodic and rational solutions of the reduced Maxwell-Bloch equations ⋮ Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation ⋮ Integrable motion of two interacting curves, spin systems and the Manakov system ⋮ Modulation instability, breathers, and bound solitons in an erbium-doped fiber system with higher-order effects ⋮ Rogue waves in a resonant erbium-doped fiber system with higher-order effects ⋮ Breather and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger-Maxwell-Bloch equation ⋮ Darboux transformation and explicit solutions for the \((2 + 1)\)-dimensional nonlocal nonlinear Schrödinger-Maxwell-Bloch system ⋮ Propagation properties of soliton solutions under the influence of higher order effects in erbium doped fibers
This page was built for publication: The Darboux Transformation for NLS-MB Equations