Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation

DOI10.3934/cpaa.2021178zbMath1480.35308OpenAlexW3207985023MaRDI QIDQ2070074

Shou-Fu Tian, Yu'an Li

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021178

zbMATH Keywords

conservation lawsinverse scattering transformsoliton solutionsnonlocal Hirota equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Stability in integrable nonlocal nonlinear equations ⋮ Long-time asymptotic behavior of the coupled dispersive AB system in low regularity spaces ⋮ Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations ⋮ Dynamic behaviors of multiple-solitons in a magnetized dusty plasma ⋮ Poisson structure and action-angle variables for the Hirota equation ⋮ Exact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equation ⋮ Soliton and breather solutions of the higher-order modified Korteweg-de Vries equation with constants background ⋮ The generalization of strong anisotropic XXZ model and UC hierarchy ⋮ The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation

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