Results 61 to 70 of about 1,098 (97)

Stability in $H^{1/2}$ of the sum of $K$ solitons for the Benjamin-Ono equation [PDF]

, 2008
This note proves the orbital stability in the energy space $H^{1/2}$ of the sum of widely-spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.
arxiv   +1 more source

Multiple solutions to logarithmic Schrodinger equations with periodic potential [PDF]

arXiv, 2014
We study a class of logarithmic Schrodinger equations with periodic potential which come from physically relevant situations and obtain the existence of infinitely many geometrically distinct solutions.
arxiv  

Fractional logarithmic Schrödinger equations [PDF]

arXiv, 2014
By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schr\"odinger equation with logarithmic nonlinearity. We also investigate the H\"older regularity of the weak solutions.
arxiv  

Gausson dynamics for logarithmic Schrödinger equations [PDF]

arXiv, 2017
In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schr\"odinger equation in presence of a smooth external potential.
arxiv  

Global weak solutions for a generalized Dullin-Gottwald-Holm equation in the space H1(R)

, 2014
The existence of global weak solutions of the Cauchy problem for a generalized Dullin-Gottwald-Holm equation is established under the assumption that the initial value u0(x) merely lies in the space H1(R).
S. Lai, Meng Wu
semanticscholar   +1 more source

Standing waves for a Schrödinger-Chern-Simons-Higgs system [PDF]

arXiv, 2018
We consider a system arising from a nonrelativistic Chern-Simon-Higgs model, in which a charged field is coupled with a gauge field. We prove an existence result for small coupling constants.
arxiv  

Computational and numerical wave solutions of the Caudrey-Dodd-Gibbon equation. [PDF]

Heliyon, 2023
Khater MMA.
europepmc   +1 more source

Algebro-Geometric Solutions of a Discrete System Related to the Trigonometric Moment Problem [PDF]

arXiv, 2004
We derive theta function representations of algebro-geometric solutions of a discrete system governed by a transfer matrix associated with (an extension of) the trigonometric moment problem studied by Szego and Baxter. We also derive a new hierarchy of coupled nonlinear difference equations satisfied by these algebro-geometric solutions.
arxiv  

Self-similarly expanding networks to curve shortening flow [PDF]

arXiv, 2007
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form 120 degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of
arxiv  

Propagation of infinitely narrow delta-solitons [PDF]

arXiv, 2000
We construct a definition of the weak solution to KdV type equations with small dispersion admitting the zero dispersion limit for soliton-like solutions. Using this definition, we obtain a system of equations (the limit problem as the dispersion tends to zero) that describes the soliton dynamics.
arxiv