Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation
Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation
We investigate an integrable extended modified Korteweg-de Vries equation on the line with the initial value belonging to the Schwartz space. By performing the nonlinear steepest descent analysis of an associated matrix Riemann--Hilbert problem, we obtain the explicit leading-order asymptotics of the solution of this initial value problem as time …