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#Solitons

Showing: 31 courses
Centre de recherches mathématiques - CRM

Slot Decomposition of the Box-Ball System - Part I

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Explorez la décomposition en fentes du système de boîtes à balles, un automate cellulaire de transport conservant les solitons. Découvrez les composantes solitoniques et leur évolution hiérarchique.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Propagação de Ondas, Sólitons e Pororoca - Parte 3

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Explore a propagação de ondas, sólitons e o fenômeno da pororoca nesta terceira parte da palestra do pesquisador Felipe Linares sobre matemática aplicada a fenômenos naturais.
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1 Lesons
18 minutes
On-Demand
Free-Video
International Mathematical Union

Kenji Nakanishi - Global Dynamics Around and Away From Solitons

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Explore global dynamics of nonlinear dispersive PDEs, focusing on solitons in Klein-Gordon and Schrödinger equations. Analyze stability, multi-soliton interactions, and open questions in soliton behavior.
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10 Lesons
39 minutes
On-Demand
Free-Video
ICTP Mathematics

Finding Solitons in Differential Geometry

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Explore solitons in differential geometry, their role in discovering distinguished geometric structures, and applications in various mathematical contexts including Lie groups and algebras.
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11 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Survey of the Benjamin-Ono Equation with Periodic Boundary Conditions

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Explore the Benjamin-Ono equation's dynamics, including explicit solutions, well-posedness, and long-term behavior, with insights from Lax pair analysis in periodic boundary conditions.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Finite Point Blowup for the Critical Generalized Korteweg-de Vries Equation

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Explore finite point blowup in critical generalized KdV equations, uncovering new blow-up dynamics and rates. Gain insights into recent advancements in nonlinear wave theory.
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1 Lesons
40 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Solitons and Channels in Nonlinear Wave Equations

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Explore non-radiative solutions in nonlinear wave equations and their connection to soliton resolution, using new energy estimate channels for radial solutions.
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1 Lesons
58 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Davydov's Solitons and Their Role in Biological Processes

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Dive into the physics of Davydov's solitons and explore their fascinating applications in biological systems, from atmospheric phenomena to nanotube behavior.
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18 Lesons
46 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Cytoplasmic Fluid Dynamics in Cell Biology

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Dive into the complex world of cytoplasmic fluid dynamics, exploring fundamental principles and theoretical physics concepts through advanced mathematical modeling and analysis.
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1 Lesons
45 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to the AdS-CFT Conjecture from a General Relativity Perspective - Lecture 3

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Explore the AdS-CFT conjecture from a general relativity perspective, covering supergravity, universal sectors, and Hawking temperature in this advanced physics lecture.
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9 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Black Hole Puzzles and Supersymmetric Paradigms - Solitons and Solution Techniques

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Explore black hole puzzles, supersymmetry, and solitons in compact dimensions. Learn solution-generating techniques for Einstein equations and discover geometric resolutions for gravitational phenomena.
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13 Lesons
56 minutes
On-Demand
Free-Video
Unzicker's Real Physics

The Soliton Model of Elementary Particles - Machian Gravity Meeting 2024

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Exploring soliton model for elementary particles, linking inertia and gravity in Machian framework. Discusses Sciama's 1953 discovery and its implications for modern physics.
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1 Lesons
43 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Solitons in Infinite Relativistic Toda System

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Explore infinite relativistic Toda systems, soliton solutions, and action-angle variables in this advanced mathematical seminar on integrable systems and cluster varieties.
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29 Lesons
1 hour 14 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

From KPZ Scaling to Long-Lived Solitons in the Classical Heisenberg Chain

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Explore KPZ scaling and long-lived solitons in the classical Heisenberg chain, uncovering their origins and properties through innovative model interpolation and soliton analysis.
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31 Lesons
35 minutes
On-Demand
Free-Video
IPhT-TV

An Exact Solution of the Macroscopic Fluctuation Theory

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Explore an exact solution to Macroscopic Fluctuation Theory equations for exclusion processes using inverse scattering, revealing insights into non-equilibrium large deviations.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Direct and Inverse Scattering for the Ultradiscrete KdV Equation

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Explore direct and inverse scattering methods for solving the ultradiscrete KdV equation, including the Takahashi-Satsuma Box & Ball system, using Darboux transformations and eigenfunctions.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Viewpoints Brought by the Box and Ball System

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Explore the box and ball system's evolution from cellular automaton to integrable system, examining its applications in traffic flow, pattern formation, and chaos through ultradiscretization and max-plus representations.
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1 Lesons
52 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Soliton Mechanism of Long-Range Electron Transport in Donor-Acceptor Systems Mediated by Polymers

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Dive into advanced physics concepts exploring soliton-mediated electron transport mechanisms in donor-acceptor systems and their role in long-range charge transfer processes.
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1 Lesons
22 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Mechanics of Ferromagnetic Solitons

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Explore the fascinating world of ferromagnetic solitons, their mechanics, and potential applications in information storage and processing. Discover surprising behaviors and connections to other areas of mechanics.
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1 Lesons
48 minutes
On-Demand
Free-Video
ICTP-SAIFR

Solitons and Probes in AdS/CFT

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Explore solitons and probes in AdS/CFT correspondence, delving into advanced concepts of string theory and holography in this introductory minicourse lecture.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Extraordinary Waves and Math: From Beaches to Photonics - Rothschild Lecture

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Explore extraordinary waves, from historical solitary waves to modern solitons, and their applications in water, rogue waves, photonics, and cellular automata.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 3

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Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Mixtures of Superfluid Quantum Gases

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Explore superfluid ultracold quantum gas mixtures, focusing on Fermi gases, Bose-Einstein condensates, and Bose-Fermi mixtures. Discover solitons, vortices, and quantum droplets in these systems.
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1 Lesons
1 hour
On-Demand
Free-Video
PCS Institute for Basic Science

Resonant Fractional Conductance in 1D Wigner Chains

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Explore resonant fractional conductance in 1D Wigner chains, focusing on quantum point contacts, fractionally charged solitons, and conductance patterns in spinless and spinful cases.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Application to Box-Ball Systems

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Delve into discrete integrable systems, exploring Toda lattices, box-ball systems, and their mathematical applications through advanced theoretical physics and mathematical frameworks.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 2

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Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadratic Differentials and Degenerate Eigenvalues

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Explore the relationship between quadratic differentials and degenerate eigenvalues in discrete integrable systems through advanced mathematical concepts and theoretical physics applications.
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1 Lesons
26 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Ruijsenaars and Toda Integrable Systems

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Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and their applications in theoretical physics and probability theory.
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1 Lesons
57 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Exact Calculation of Degrees for Lattice Equations - A Singularity Approach

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Delve into advanced mathematical concepts of discrete integrable systems, focusing on lattice equations and singularity analysis through exact degree calculations and theoretical frameworks.
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1 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Singularity Patterns of the Discrete and Modified-discrete KdV

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Explore singularity patterns in discrete and modified-discrete KdV equations through advanced mathematical analysis of integrable systems and their structural properties.
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1 Lesons
40 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Coherent and Incoherent Dynamics of Fuzzy Dark Matter

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Delve into the physics of Fuzzy Dark Matter, exploring its relationship with Bose-Einstein condensates, soliton formation, and implications for galactic structure through advanced theoretical analysis.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video