Results 101 to 110 of about 31,402 (263)
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Complex sine-Gordon theory: solitons, defects and boundaries [PDF]
, 2008 This thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory.
Umpleby, James
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Cavity Solitons in Semiconductor Devices
, 2008 Cavity solitons represent a class of dissipative solitons which are generated inside an optical resonator. They have attracted considerable interest in the recent years due to their possible application to optical information processing.
LUGIATO, LUIGI +6 more
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Ain Shams Engineering JournalIn the present research, the nonlinear electrical equation named low–pass electrical transmission lines (LPETLs) equation under examination through extended simple equation approach.
Mujahid Iqbal +6 more
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Beam Steering in Nonlocal Mediumwith Competing Nonlinearities
Journal of Harbin University of Science and Technology, 2017 Nonlocal spatial solitons have potential applications in all-optical signal processing and optical interconnects due to their low power and particle-like nature on interactions.
PU Shao-zhi +3 more
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A Spreading‐Rate Dependence for Periodic Signals Embedded in Otherwise Aperiodic Abyssal Hills
Geophysical Research Letters, Volume 53, Issue 12, 28 June 2026.Abstract I present evidence, through an empirical pre‐whitening analysis, that periodic signals are embedded in otherwise aperiodic abyssal hills across paleo‐spreading rates ranging from 1 to 9 cm/yr (half rate). Data are comprised of archival trackline and multibeam bathymetry profiles in north and south Atlantic Oceans, Pacific‐Antarctic Ridge ...
J. A. Goff
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, 2012 In this paper the inverse scattering method is applied to the Vakhnenko-Parkes equation. We describe a procedure for using the inverse scattering transform to find the solutions that are associated with both the bound state spectrum and continuous ...
Vakhnenko, V.O., Parkes, E.J.
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Nuclear Physics BThe interaction problem between solitons and mean flows including the dispersive shock wave, rarefaction wave, kink and contact dispersive shock wave, is discussed in the framework of the Gardner equation, a generic non-convex mathematical model ...
Jia-Xue Niu, Rui Guo, Jian-Wen Zhang
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Global Occurrence of Solitary Waves in the Martian Magnetosphere
Geophysical Research Letters, Volume 53, Issue 11, 16 June 2026.Abstract This letter presents a global occurrence of bipolar solitary waves (SWs) in the Martian magnetosphere. We utilized medium‐frequency electric field measurements from October 2014 to December 2023 from the Mars Atmosphere and Volatile EvolutioN (MAVEN) spacecraft.
Sahil Pandey, Amar Kakad, Bharati Kakad
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