Surfaces | Solitons | Differential geometry | Exactly solvable models
The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function. It was originally introduced by Edmond Bour in the course of study of surfaces of constant negative curvature as the Gauss–Codazzi equation for surfaces of curvature −1 in 3-space, and rediscovered by Frenkel and Kontorova in their study of crystal dislocations known as the Frenkel–Kontorova model. This equation attracted a lot of attention in the 1970s due to the presence of soliton solutions. (Wikipedia).
Learn where the formula for the Law of Sines comes from
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
What is the formula for the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
What are the law of sines and when will we apply them
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
How to use the law of sines when given two angles and one side
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines
An introduction into the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
Introduction into the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
On Co-dimension One Stability of the Soliton for the 1D Focusing Cubic Klein-Gor... - Wilhelm Schlag
Analysis and Mathematical Physics Topic: On Co-dimension One Stability of the Soliton for the 1D Focusing Cubic Klein-Gordon Equation Speaker: Wilhelm Schlag Affiliation: Yale University Date: February 8, 2023 Solitons are particle-like solutions to dispersive evolution equations whose s
From playlist Mathematics
Forced integrable systems: the case of sine-Gordon equation by Vasudeva Murthy
Program : Integrable? ?systems? ?in? ?Mathematics,? ?Condensed? ?Matter? ?and? ?Statistical? ?Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
We know the range of sin(x) is between -1 and 1, inclusively, but that's just with real numbers x. What if our input for the sine function is a complex number? In fact, we can derive the complex definition of sine from the Euler's formula and we can write sin(z) in terms of complex exponen
From playlist Equation Of The Year!
Roland Bauerschmidt: Lecture #3
This is a third lecture on "Log-Sobolev inequality and the renormalisation group" by Dr. Roland Bauerschmidt. For more materials and slides visit: https://sites.google.com/view/oneworld-pderandom/home
From playlist Summer School on PDE & Randomness
Chuu-LianTerng: Solitons in Geometry
Summary: A soliton is a solitary wave that resists dispersion, maintaining its shape while propagating at a constant speed. Solitons were seen first as water waves in a shallow channel, and lately in the motion of a wave envelopes in optical fibers. They also occur in the study of pseudo-
From playlist Abel Lectures
Applying the law of sines to solve a word problem
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | AAS
Applying the law of sines with two acute angles
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines
Giuseppe MUSSARDO - Sinh-Gordon model and its duality
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”
Field Theory Fundamentals in 20 Minutes!
Field theory is the mathematical language that we use to describe the deepest theories of physics. I'll teach you the basics in about 20 minutes. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Take my full course on Lagrangian mechanics! https://courses.p
From playlist Lagrangian Mechanics Sequence
Particle Physics is Founded on This Principle!
Take your first steps toward understanding gauge field theory, which underlies everything we know about particle physics! Sponsored by Blinkist: Start your free trial and get 25% off! https://www.blinkist.com/elliot Get the notes for free here: https://courses.physicswithelliot.com/notes-
From playlist Field Theory Sequence
This is How a Theoretical Quantum Mechanics Exam Looks that Only Two people Passed... @Andrew Dotson
Engineering Clock Finally Available Again! :) https://stemerch.com/collections/clocks-watches-1/products/engineer-clock Wanna send me your hard exams? Here you go: piequals3@papaflammy.engineer Hard Exam Playlist: https://www.youtube.com/watch?v=5mHkCEHfGSg&list=PLN2B6ZNu6xmeiEFInOyQWJ3siU
From playlist Hard Exams Gone Wrong
Michal KOWALCZYK - Kink dynamics in the $\phi^4$ model...
Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space We consider a classical equation $\[\phi_{tt}-\phi_{xx}=\phi-\phi^3,\quad (t,x)\in\RR\times\RR\] known as the $\phi^4$ model in one space dimension. The kink, defined by $H(x)=\tanh(x/{\sqr
From playlist Trimestre "Ondes Non linéaires" - June Conference
How to apply the law of sines to find the remaining parts of a triangle
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | AAS
QED Prerequisites: Field Equations - Conventions
In this lesson we lay down the notation conventions used for our introduction to the two key field equations used in elementary QED: the Klein-Gordon Equation and the Dirac Equation. These subjects are often taught at the beginning of a QED course, but we will treat them as pre-requisite c
From playlist QED- Prerequisite Topics