Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
نویسندگان
چکیده
We are concerned with the long-time asymptotic behavior of solution for focusing Hirota equation (also called third-order nonlinear Schrödinger equation) symmetric, non-zero boundary conditions (NZBCs) at infinity. Firstly, based on Lax pair NZBCs, direct and inverse scattering problems used to establish oscillatory Riemann-Hilbert (RH) problem distinct jump curves. Secondly, Deift-Zhou steepest-descent method is employed analyze RH such that solutions proposed in two domains space-time plane (i.e., plane-wave modulated elliptic-wave domains), respectively. Finally, modulation instability considered also investigated.
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ژورنال
عنوان ژورنال: Mathematical Physics Analysis and Geometry
سال: 2021
ISSN: ['1572-9656', '1385-0172']
DOI: https://doi.org/10.1007/s11040-021-09388-0