Long-time asymptotics and the bright N-soliton solutions of the Kundu–Eckhaus equation via the Riemann–Hilbert approach

• Published in: Nonlinear analysis: real world applications Vol. 41; pp. 334 - 361
• Main Authors: Wang, Deng-Shan, Wang, Xiaoli
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.06.2018; Elsevier BV
• Subjects: Asymptotic methods; Asymptotic properties; Boundary value problems; Defocusing; Kundu–Eckhaus equation; Lax pair; Long-time asymptotics; Nonlinear equations; Riemann–Hilbert approach; Schrodinger equation; Soliton solutions; Steepest descent method; Long-time asymptotics; Soliton solutions; Lax pair; Kundu–Eckhaus equation; Riemann–Hilbert approach

The long-time asymptotics and bright N-soliton solutions of the Kundu–Eckhaus equation are studied by Riemann–Hilbert approach. Firstly, the initial value problem of the defocusing Kundu–Eckhaus equation is considered and its long-time asymptotics is derived based on the nonlinear steepest descent m...