3 papers
nlin.SI2025
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…
nlin.SI2025
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…
nlin.SI2025
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…