For a certain class of solutions of the cubic nonlinear Sch\"odinger equation we prove non-existence in the generic case. In the nongeneric case we present a two-parameter set of solutions, bounded or unbounded, depending on corresponding constraints.Comment: 14 pages, 5 figure
New existence and localization results for the nonlinear wave equation are established by means of t...
AbstractIn this paper, we study the existence and multiplicity of nontrivial solutions for the follo...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
Exact solutions to a nonlinear Schrödinger lattice with a saturable nonlinearity are reported. For f...
AbstractThe aim of this paper is to prove the existence of multiple nontrivial solutions to a semili...
Using the modified mapping method and the extended mapping method, we derive some new exact solution...
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the c...
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary cond...
AbstractWe revisit a result by Cuccagna, Kirr and Pelinovsky about the cubic nonlinear Schrödinger e...
AbstractWe study the Dirac equation:−i∂tψ=icℏ∑k=13αk∂kψ−mc2βψ+∇ψG(x,ψ), and obtain existence and mul...
AbstractWe prove an existence result for solutions of nonlinear elliptic unilateral problems having ...
We consider NLS on $T^2$ with multiplicative spatial white noise and nonlinearity between cubic and...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
AbstractIn this paper we study the uniqueness of the solution for a nonlinear ODE with nonlocal term...
AbstractIn this paper we construct generalized solutions (weak solutions) to a linear discontinuous ...
New existence and localization results for the nonlinear wave equation are established by means of t...
AbstractIn this paper, we study the existence and multiplicity of nontrivial solutions for the follo...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
Exact solutions to a nonlinear Schrödinger lattice with a saturable nonlinearity are reported. For f...
AbstractThe aim of this paper is to prove the existence of multiple nontrivial solutions to a semili...
Using the modified mapping method and the extended mapping method, we derive some new exact solution...
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the c...
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary cond...
AbstractWe revisit a result by Cuccagna, Kirr and Pelinovsky about the cubic nonlinear Schrödinger e...
AbstractWe study the Dirac equation:−i∂tψ=icℏ∑k=13αk∂kψ−mc2βψ+∇ψG(x,ψ), and obtain existence and mul...
AbstractWe prove an existence result for solutions of nonlinear elliptic unilateral problems having ...
We consider NLS on $T^2$ with multiplicative spatial white noise and nonlinearity between cubic and...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
AbstractIn this paper we study the uniqueness of the solution for a nonlinear ODE with nonlocal term...
AbstractIn this paper we construct generalized solutions (weak solutions) to a linear discontinuous ...
New existence and localization results for the nonlinear wave equation are established by means of t...
AbstractIn this paper, we study the existence and multiplicity of nontrivial solutions for the follo...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...