41 citations · 42 across the 4 of their papers we have counts for
5 papers
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Manuela Girotti, Tamara Grava, Robert Jenkins +2
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredh…
On the long time asymptotic behavior of the modified Korteweg de Vries equation with step-like initial data
Tamara Grava, Alexader Minakov
We study the long time asymptotic behaviour of the solution , to the modified Korteweg de Vries equation (MKDV) with step-like initial datum q(x,t=…
Dispersive Shock Wave, Generalized Laguerre Polynomials and Asymptotic Solitons of the Focusing Nonlinear Schrödinger Equation
Vladimir Kotlyarov, Alexander Minakov
We consider dispersive shock wave to the focusing nonlinear Schrödinger equation generated by a discontinuous initial condition which is periodic or quasi-periodic on the left semi…
Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data
Marco Bertola, Alexander Minakov
We consider the compressive wave for the modified Korteweg--de Vries equation with background constants for and for We study the asymptotics…
Asymptotics of step-like solutions for the Camassa-Holm equation
Alexander Minakov
We study the long-time asymptotics of solution of the Cauchy problem for the Camassa-Holm equation with a step-like initial datum. By using the nonlinear steepest descent method an…