6 citations · 7 across the 5 of their papers we have counts for
5 papers
Painleve-type asymptotics for the defocusing Hirota equation in transition region
Weikang Xun, Luman Ju, Engui Fan
We consider the Cauchy problem for the classical Hirota equation on the line with decaying initial data. Based on the spectral analysis of the Lax pair of the Hirota equation, we f…
Long time and Painleve-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions
Weikang Xun, Engui Fan
The Sasa-Satsuma equation with Lax representation is one of the integrable extensions of the nonlinear Schrödinger equation. In this paper, we consider the Cauchy pro…
Inverse scattering transform for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation
Wei-Kang Xun, Shou-Fu Tian
In this work, a generalized nonlocal Lakshmanan-Porsezian-Daniel (LPD) equation is introduced, and its integrability as an infinite dimensional Hamilton dynamic system is establish…
Riemann-Hilbert approach and N-soliton formula for the N-component Fokas-Lenells equations
Wei-Kang Xun, Shou-Fu Tian
In this work, the generalized -component Fokas-Lenells(FL) equations, which have been studied by Guo and Ling (2012 J. Math. Phys. 53 (7) 073506) for , are first investigat…
A new matrix modified Korteweg-de Vries equation: Riemann-Hilbert approach and exact solutions
Wei-Kang Xun, Shou-Fu Tian, Jin-Jie Yang
A new matrix modified Korteweg-de Vries (mmKdV) equation with a complex-valued potential matrix function is first studied via Riemann-Hilbert approach, which can be red…