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math.AP2025
Nonlinear Stability of Large-Period Traveling Waves Bifurcating from the Heteroclinic Loop in the FitzHugh-Nagumo Equation
Ji Li, Ke Wang, Qiliang Wu +1
A wave front and a wave back that spontaneously connect two hyperbolic equilibria, known as a heteroclinic wave loop, give rise to periodic waves with arbitrarily large spatial per…
math.AP2021
Orbital Stability of the sum of Smooth solitons in the Degasperis-Procesi Equation
Ji Li, Yue Liu, Qiliang Wu
The Degasperis-Procesi (DP) equation is an integrable Camassa-Holm-type model as an asymptotic approximation for the unidirectional propagation of shallow water waves. This work is…
math.AP2020
Orbital Stability of smooth solitary waves for the Degasperis-Procesi Equation
Ji Li, Yue Liu, Qiliang Wu
The Degasperis-Procesi equation is the integrable Camassa-Holm-type model which is an asymptotic approximation for the unidirectional propagation of shallow water waves. This work…