Add to ORKGThe main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated N-phase nonlinear wave solutions to the focusing nonlinear Schrödinger (fNLS) equation, and b) the Riemann–Hilbert Problem approach to particular solutions of the fNLS in the semiclassical (small dispersion) limit that develop slowly modulated N-phase nonlinear wave in the process of evolution. Both approaches have their own merits and limitations. Understanding of the interrelations between them could prove beneficial for a broad range of problems involving the semiclassical fNLS
We propose a novel, analytically tractable, scenario of the rogue wave formation in the framework of...
Dedicated to Professor Yuh-Jia Lee on his sixtieth birthday. We establish the singular limits, inclu...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
In a previous paper [13] we calculated the leading-order term q 0(x, t, ε) of the solution of q(x, t...
In a previous paper [13] we calculated the leading-order term q(0)(x, t, epsilon) of the solution of...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
We calculate the leading-order term of the solution of the focusing nonlinear (cubic) Schrodinger eq...
In chapter 2 we use functional analytic methods and conservation laws to solve the initial-value pro...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The dispersionless Whitham modulation equations in 2+1 (two space dimensions and time) are reviewed...
The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its i...
We propose a novel, analytically tractable, scenario of the rogue wave formation in the framework of...
Dedicated to Professor Yuh-Jia Lee on his sixtieth birthday. We establish the singular limits, inclu...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
The main goal of this paper is to put together: a) the Whitham theory applicable to slowly modulated...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
In a previous paper [13] we calculated the leading-order term q 0(x, t, ε) of the solution of q(x, t...
In a previous paper [13] we calculated the leading-order term q(0)(x, t, epsilon) of the solution of...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
We calculate the leading-order term of the solution of the focusing nonlinear (cubic) Schrodinger eq...
In chapter 2 we use functional analytic methods and conservation laws to solve the initial-value pro...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The dispersionless Whitham modulation equations in 2+1 (two space dimensions and time) are reviewed...
The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its i...
We propose a novel, analytically tractable, scenario of the rogue wave formation in the framework of...
Dedicated to Professor Yuh-Jia Lee on his sixtieth birthday. We establish the singular limits, inclu...
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schr...