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nlin.SI2020
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…
nlin.SI2020★ 1 cited
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…
nlin.SI2020
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…