Riemann-Hilbert problem and soliton solutions with their asymptotic analysis for the focusing nonlocal Hirota equation with step-like initial data
DOI10.1016/J.PHYSD.2024.134413MaRDI QIDQ6650127
Ling Lei, Xiaofan Zhang, Shou-Fu Tian
Publication date: 6 December 2024
Published in: Physica D (Search for Journal in Brave)
Riemann-Hilbert problemasymptotic analysissoliton solutionsnonlocal Hirota equationstep-like initial data
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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) Singularity in context of PDEs (35A21) Soliton solutions (35C08)
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