3 citations · 3 across the 6 of their papers we have counts for
6 papers
Rigorous analysis of large-space and long-time asymptotics for the short-pulse soliton gases
Guoqiang Zhang, Weifang Weng, Zhenya Yan
We rigorously analyze the asymptotics of soliton gases to the short-pulse (SP) equation. The soliton gas is formulated in terms of a RH problem, which is derived from the RH proble…
On Large-Space and Long-Time Asymptotic Behaviors of Kink-Soliton Gases in the Sine-Gordon Equation
Guoqiang Zhang, Weifang Weng, Zhenya Yan
We conduct a comprehensive analysis of the large-space and long-time asymptotics of kink-soliton gases in the sine-Gordon (sG) equation, addressing an important open problem highli…
On the -soliton asymptotics for the modified Camassa-Holm equation with linear dispersion and vanishing boundaries
Weifang Weng, Zhenya Yan
We explore the -soliton asymptotics for the modified Camassa-Holm (mCH) equation with linear dispersion and boundaries vanishing at infinity: $m_t+(m(u^2-u_x^2)^2)_x+κu…
The focusing complex mKdV equation with nonzero background: Large -order asymptotics of multi-rational solitons and related Painlevé-III hierarchy
Weifang Weng, Guoqiang Zhang, Zhenya Yan
In this paper, we investigate the large-order asymptotics of multi-rational solitons of the focusing complex modified Korteweg-de Vries (c-mKdV) equation with nonzero background vi…
Large-space and long-time asymptotic behaviors of -soliton solutions (soliton gas) for the focusing Hirota equation
Weifang Weng, Zhenya Yan
The Hirota equation is one of the integrable higher-order extensions of the nonlinear Schrödinger equation, and can describe the ultra-short optical pulse propagation in the form $…
Well-posedness of scattering data for the derivative nonlinear Schrödinger equation in
Weifang Weng, Zhenya Yan
We prove the well-posedness results of scattering data for the derivative nonlinear Schrödinger equation in . We show that the reciprocal of the tr…