Soliton Solutions for Quasilinear Schrödinger Equations

Soliton Solutions for Quasilinear Schrödinger Equations

Soliton Solutions for Quasilinear Schrödinger Equations, I

For a class of quasilinear Schrödinger equations we establish the existence of ground states of soliton type solutions by a minimization argument.

Soliton interactions in perturbed nonlinear Schrödinger equations.

We use multiscale perturbation theory in conjunction with the inverse scattering transform to study the interaction of a number of solitons of the cubic nonlinear Schrödinger equation under the influence of a small correction to the nonlinear potential. We assume that the solitons are all moving with the same velocity at the initial instant; this maximizes the effect each soliton has on the oth...

Soliton solutions for quasilinear Schrödinger equations involving supercritical exponent in R

where g has superlinear growth at infinity without any restriction from above on its growth. Mountain pass in a suitable Orlicz space is employed to establish this result. These equations contain strongly singular nonlinearities which include derivatives of the second order which make the situation more complicated. Such equations arise when one seeks for standing wave solutions for the corresp...

Large Solutions for Quasilinear Elliptic Equations