Inverse Scattering Method I. Methodological part with an example: Soliton solution of the Sine-Gordon Equation
Abstract
The aim of this paper is to introduce the Inverse Scattering Method for later studies of some problems in nonlinear dynamics, and describe the kink solution of the Sine Gordon Equation using the Inverse Scattering Method as a methodological example, the soliton solution is well known.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2018
- DOI:
- 10.48550/arXiv.1803.08261
- arXiv:
- arXiv:1803.08261
- Bibcode:
- 2018arXiv180308261H
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 37K15
- E-Print:
- 26 pages, revised