Stretching Coordinates System/Reductive perturbation theory

In summary, the stretching coordinates system is used in reductive perturbation theory to simplify the mathematical analysis of physical systems by separating fast and slow variables. This helps in understanding complex systems and making predictions about their dynamics. While it can be applied to a wide range of physical systems, its accuracy may be limited in cases with strong nonlinearities or rapid oscillations. The choice of stretching coordinates is also important in obtaining reliable results from reductive perturbation theory.
  • #1
Ahmer ali
2
0
TL;DR Summary
why stretching coordinate transformation is used in the study of solitons formation using reductive perturbation theory?
What is the physical reason behind the usually used transformation of the form mentioned below
transformation.JPG
 
Physics news on Phys.org
  • #2
Please link to the specific paper in question.
 
  • #3

Attachments

  • washimi1966.pdf
    139.5 KB · Views: 90

Similar threads

I Differences between perturbation/variation of an object?
    • Other Physics Topics
Replies
9
Views
2K
A A question from a paper on perturbation theory
    • Cosmology
Replies
1
Views
360
Diagonalizing q1ˆ3q2ˆ3 with Degenerate Perturbation Theory
    • Advanced Physics Homework Help
Replies
1
Views
821
I Hartree-Fock: Feynman diagrams vs perturbation theory
    • Atomic and Condensed Matter
Replies
9
Views
258
A Wigner Weisskopf method for time varying Perturbation
    • Quantum Physics
Replies
3
Views
688
Solutions for nonrelativistic-matter perturbations
    • Advanced Physics Homework Help
Replies
3
Views
251
A Time dependent perturbation theory applied to energy levels
    • Atomic and Condensed Matter
Replies
5
Views
2K
I Are non-perturbative methods in physics limited to quantum physics?
    • Beyond the Standard Models
Replies
4
Views
1K
A QFT with vanishing vacuum expectation value and perturbation theory
    • Quantum Physics
Replies
3
Views
1K
Time-dependent Perturbation Theory
    • Advanced Physics Homework Help
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top