Results 61 to 70 of about 1,094 (76)
Advances in Nonlinear Analysis, 2017 We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient ...
Colorado Eduardo
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Wave breaking of periodic solutions to the Fornberg-Whitham equation
, 2017 Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions.
Hoermann, Guenther
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A remark on Gibbs measures with log-correlated Gaussian fields
Forum of Mathematics, SigmaWe study Gibbs measures with log-correlated base Gaussian fields on the d-dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson’s argument.
Tadahiro Oh +2 more
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, 2015 In the following we study the qualitative properties of solutions to the geodesic flow induced by a higher order two-component Camassa-Holm system. In particular, criteria to ensure the existence of temporally global solutions are presented.
Escher, Joachim, Lyons, Tony
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Variational derivation of two-component Camassa-Holm shallow water system
, 2012 By a variational approach in the Lagrangian formalism, we derive the nonlinear integrable two-component Camassa-Holm system (1). We show that the two-component Camassa-Holm system (1) with the plus sign arises as an approximation to the Euler equations ...
Abraham R +6 more
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An extension of heat hierarchy [PDF]
, 2017 We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra $\mathcal{A}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension of KP hierarchy,
Wang, Joe S.
core
, 2017 We study decay of small solutions of the Born-Infeld equation in 1+1 dimensions, a quasilinear scalar field equation modeling nonlinear electromagnetism, as well as branes in String theory and minimal surfaces in Minkowski space-times.
Alejo, Miguel A., Muñoz, Claudio
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R-matrix for a geodesic flow associated with a new integrable peakon equation
, 2016 We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
europepmc +1 more source
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
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