Symmetry Analysis of Partial Differential Equations

Click For Summary

Discussion Overview

The discussion revolves around the topic of symmetry analysis in partial differential equations (PDEs) and its relation to other mathematical concepts, such as differential Galois theory. Participants share their experiences and seek clarification on the subject, exploring its relevance to both mathematics and physics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses enjoyment in their symmetry analysis course, recommending it to math majors and those interested in ordinary and partial differential equations.
  • Another participant inquires whether symmetry analysis is related to differential Galois theory, which also examines symmetries in differential equations.
  • A participant reflects on the historical context of symmetry in physics, referencing Emmy Noether's theorem and suggesting that physicists often focus on symmetries related to physical phenomena rather than those specific to PDEs.
  • A later reply reiterates the focus of the course on the symmetry of PDEs, indicating a desire for further explanation of the topic.
  • One participant admits unfamiliarity with differential Galois theory, indicating a gap in knowledge regarding this concept.

Areas of Agreement / Disagreement

Participants express varying levels of familiarity with the concepts discussed, and while there is enthusiasm for the topic, there is no consensus on the relationship between symmetry analysis and differential Galois theory. The discussion remains open-ended with multiple viewpoints presented.

Contextual Notes

Some participants may have differing levels of understanding regarding the concepts of symmetry analysis and differential Galois theory, which could affect the clarity of the discussion.

bdj03001
Messages
7
Reaction score
0
I'm currently taking a symmetry analysis course. It is really interesting. I would recommend it to any math major or anyone interested in ODE's and PDE'S. I am enjoying it very much.
 
Physics news on Phys.org
is that anything like that "differential galois theory" where you look st symmetries in differential equations?
 
I almost feel sorry that ever since Emmy Noether discovered the theorem in 1918,we physicists like to take a look at symmetries related to physical phenomena (and Lagrange & Hamilton actions & functions),and not to symmetries of PDE-s... :rolleyes: :-p

Daniel.
 
bdj03001 said:
I'm currently taking a symmetry analysis course. It is really interesting. I would recommend it to any math major or anyone interested in ODE's and PDE'S. I am enjoying it very much.

Would you kindly briefly explain what this is? I'm interested in differential equations.

Thanks,
Salty
 
dextercioby said:
I almost feel sorry that ever since Emmy Noether discovered the theorem in 1918,we physicists like to take a look at symmetries related to physical phenomena (and Lagrange & Hamilton actions & functions),and not to symmetries of PDE-s... :rolleyes: :-p

Daniel.


This course is symmetry of PDE's
 
fourier jr said:
is that anything like that "differential galois theory" where you look st symmetries in differential equations?

Sorry I'm unfamiliar with "differential galois therory"
 

Similar threads

Undergrad Partial Differential Equation solved using Products
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Why Lagrange’s method of solving Pp + Qq=R works?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Maxwell's equations PDE interdependence and solutions
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Integrability of Systems of Differential Equations
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Feynmann's connection machine model
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Energy of moving Sine-Gordon breather
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Stuck on solving a non homogenous (linear) PDE
  • · Replies 36 ·
2
Replies
36
Views
7K
Undergrad How do I classify this partial differential equation? Inhomogeneous?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Nonlinear Wave Equation (Nonlinear Helmholtz)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Partial differential equation containing the Inverse Laplacian Operator
  • · Replies 3 ·
Replies
3
Views
3K