Integrable systems | Nonlinear partial differential equations
The unnormalized modified Korteweg–de Vries (KdV) equation is an integrable nonlinear partial differential equation: where is an arbitrary (nonzero) constant. See also Korteweg–de Vries equation. This is a special case of the Gardner equation. (Wikipedia).
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Quadratic)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Linear)
This video explains how to determine the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems
The title of the lecture is shortened to comply with Youtubes' title policy. The original title of this lecture is "Rigorous semiclassical asymptotics for integrable systems:The KdV and focusing NLS cases". Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Sa
From playlist Abel Lectures
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Ex 2: General Solution to a Second Order DE Using Variation of Parameters
This video provides an example of how to determine the general solution to a linear second order nonhomogeneous differential equation. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Ralph Willox: The singularity structure of integrable lattice equations
Abstract: Although the notion of singularity confinement was first introduced as a crucial attribute of the singularities of the discrete KdV (dKdV) equation, as of yet there is still no rigorous definition of the notion of `confinement' in the context of lattice equations. In fact, somewh
From playlist Integrable Systems 9th Workshop
Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Thomas KAPPELER - Analytic extensions of frequencies of integrable PDEs and applications
In form of a case study for the mKdV and the KdV2 equation we discuss a novel approach of representing frequencies of integrable PDEs which allows to extend them analytically to spaces of low regularity and to study their asymptotics. Applications include properties of the actions to frequ
From playlist Trimestre "Ondes Non linéaires" - June Conference
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Exponential)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Repeat Term)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Seminar In the Analysis and Methods of PDE (SIAM PDE): Monica Visan
Title: Determinants, Commuting Flows, and Recent Progress on Completely Integrable Systems Date: October 7, 2021, 11:30 am ET Speaker: Monica Visan, University of California, Los Angeles Abstract: We will survey a number of recent developments in the theory of completely integrable nonlin
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
STPM - The Well-Posedness for the KdV and mKdV Equations - Zihua Guo
Zihua Guo Institute for Advanced Study September 23, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
PT Symmetry in Optics, Exceptional Points and Bound States in the Continuum by Prasanta K Panigrahi
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII
Method of Undetermined Coefficients to Find a Particular Solution (trig)
This video provides an example of how to find a particular to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Interaction of solitons from the PDE point of view – Yvan Martel – ICM2018
Partial Differential Equations Invited Lecture 10.15 Interaction of solitons from the PDE point of view Yvan Martel Abstract: We review recent results concerning the interactions of solitary waves for several universal nonlinear dispersive or wave equations. Though using quite different
From playlist Partial Differential Equations
An Integrable Road to a Perturbative Plateau
IAS High Energy Theory Seminar Topic: An Integrable Road to a Perturbative Plateau Speaker: Jorrit Kruthoff Affiliation: Institute for Advanced Study Date: October 07, 2022 As has been known since the 90s, there is an integrable structure underlying two-dimensional gravity theories. Rece
From playlist IAS High Energy Theory Seminar
Zoom Talk & Problem Solving Session, Andrey Konyaev: Tuesday 15 February
SMRI -MATRIX Symposium: Nijenhuis Geometry and Integrable Systems Week 2 (MATRIX): Zoom Talk by Andrey Konyaev, followed by Problem Solving Session 15 February 2022 ---------------------------------------------------------------------------------------------------------------------- SMRI
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
Sri Namachchivaya - Stability, dimensional reduction and data assimilation in random dynamical sy
PROGRAM: Nonlinear filtering and data assimilation DATES: Wednesday 08 Jan, 2014 - Saturday 11 Jan, 2014 VENUE: ICTS-TIFR, IISc Campus, Bangalore LINK:http://www.icts.res.in/discussion_meeting/NFDA2014/ The applications of the framework of filtering theory to the problem of data assimi
From playlist Nonlinear filtering and data assimilation
The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 2
This video provides examples of how to determine the form of the particular solution to a linear second order nonhomogeneous differential equation when terms are repeated. The particular solution is not found. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients