Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations [PDF]
, 2013 International audienceThis paper deals with the study of ''\textit{sharp localized}'' solutions of a nonlinear type Schrödinger equation in the whole space $\R^N,$ $N\ge1,$ with a zero order term, in modulus, like a power $m$ less than one of the modulus
Bégout, Pascal, Díaz, Jesús Ildefonso
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Nonlinear resonant absorption of fast magnetoacoustic waves in strongly anisotropic and dispersive plasmas [PDF]
, 2009 The nonlinear theory of driven magnetohydrodynamics (MHD) waves in strongly anisotropic and dispersive plasmas, developed for slow resonance by Clack and Ballai [Phys. Plasmas 15, 2310 (2008)] and Alfvén resonance by Clack et al. [Astron. Astrophys. 494,
Braginskii S. I. +6 more
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Effects of a localized beam on the dynamics of excitable cavity solitons [PDF]
, 2008 We study the dynamical behavior of dissipative solitons in an optical cavity filled with a Kerr medium when a localized beam is applied on top of the homogeneous pumping.
Adrian Jacobo +12 more
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Partially Localized Intersecting BPS Branes [PDF]
, 1999 We present the explicit forms of supergravity solutions for the various intersecting two BPS branes in eleven and ten dimensions, where one brane is localized at the delocalized other brane.
Aref'eva +22 more
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Subcritical patterns and dissipative solitons due to intracavity photonic crystals [PDF]
, 2007 Manipulation of the bifurcation structure of nonlinear optical systems via intracavity photonic crystals is demonstrated. In particular, subcritical regions between spatially periodic states are stabilized by modulations of the material's refractive ...
Damià Gomila +2 more
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A Localized Version of the Method of Fundamental Solutions in a Multi-level Context
Periodica Polytechnica Civil Engineering, 2023 The Method of Fundamental Solutions is applied to the Laplace equation. Instead of using the traditional approach with external source points and boundary collocation points, the original domain decomposed into a lot of smaller, overlapping subdomains, and the Method of Fundamental Solutions is used to the individual local subdomains. After eliminating
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Stress analysis of elastic bi-materials by using the localized method of fundamental solutions
AIMS Mathematics, 2021 <abstract> <p>The localized method of fundamental solutions belongs to the family of meshless collocation methods and now has been successfully tried for many kinds of engineering problems. In the method, the whole computational domain is divided into a set of overlapping local subdomains where the classical method of fundamental ...
Juan Wang +3 more
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Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing [PDF]
, 2000 We demonstrate that weak parametric interaction of a fundamental beam with its third harmonic field in Kerr media gives rise to a rich variety of families of non-fundamental (multi-humped) solitary waves.
A. C. Yew +36 more
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Small amplitude quasi-breathers and oscillons [PDF]
, 2008 Quasi-breathers (QB) are time-periodic solutions with weak spatial localization introduced in G. Fodor et al. in Phys. Rev. D. 74, 124003 (2006).
A. E. Kudryavtsev +9 more
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AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zengtao Chen, Fajie Wang
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