Localized Boundary Knot Method for Solving Two-Dimensional Laplace and Bi-Harmonic Equations
In this paper, a localized boundary knot method is proposed, based on the local concept in the localized method of fundamental solutions. The localized boundary knot method is formed by combining the classical boundary knot method and the localization ...
Jingang Xiong +2 more
doaj +1 more source
Nonlinear resonant absorption of fast magnetoacoustic waves in strongly anisotropic and dispersive plasmas [PDF]
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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Gaussian Process Regression for Data Fulfilling Linear Differential Equations with Localized Sources
Specialized Gaussian process regression is presented for data that are known to fulfill a given linear differential equation with vanishing or localized sources.
Christopher G. Albert, Katharina Rath
doaj +1 more source
Probing partially localized supergravity background of fundamental string ending on Dp-brane [PDF]
We study the dynamics of the probe fundamental string in the field background of the partially localized supergravity solution for the fundamental string ending on Dp-brane.
A. Fayyazuddin +19 more
core +2 more sources
Partially Localized Intersecting BPS Branes [PDF]
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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Discrete surface solitons in two dimensions [PDF]
We investigate fundamental localized modes in 2D lattices with an edge (surface). Interaction with the edge expands the stability area for ordinary solitons, and induces a difference between perpendicular and parallel dipoles; on the contrary, lattice ...
B. A. Malomed +6 more
core +3 more sources
Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing [PDF]
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
core +2 more sources
Small amplitude quasi-breathers and oscillons [PDF]
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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Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
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Time-Reversal of Nonlinear Waves - Applicability and Limitations [PDF]
Time-reversal (TR) refocusing of waves is one of fundamental principles in wave physics. Using the TR approach, "Time-reversal mirrors" can physically create a time-reversed wave that exactly refocus back, in space and time, to its original source ...
Chabchoub, A., Ducrozet, G., Fink, M.
core +5 more sources

