2 papers
math-ph2019
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…
math-ph2017
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…