A multidimensional superposition principle: Classical solitons I

A concept that easily explains both classical solitonic and more complex wave interactions is proposed for differential equations. Nonlinear PDEs associated with the Riccati equations via 'truncated expansions' are considered, and the existence of the KdV-type soliton/kink is shown. Other interactions, including inelastic ones, are indicated. © 2001 Elsevier Science B.V.

Authors
Alexeyev A.A. 1
Journal
Physics Letters, Section A: General, Atomic and Solid State Physics
Number of issue
4
Language
English
Pages
198-208
Status
Published
Link
External link
DOI
10.1016/S0375-9601(00)00775-1
Volume
278
Year
2001
Organizations
  • 1 Laboratory of Computer Physics and Mathematical Simulation, Research Division Faculty of PhysicsMathematics and Natural Sciences, University of Russia, 6 Miklukho-Maklaya str., Moscow 117198, Russian Federation
Keywords
Nonlinear interaction; Nonlinear PDE; Soliton; Superposition
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/353/
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