Soliton Phenomenology

V.G. Makhankov (Autor)

Buch | Softcover

452 Seiten

2014 | Softcover reprint of the original 1st ed. 1990
Springer (Verlag)
978-94-010-7494-0 (ISBN)

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'Et moi, ..., si j'avait Sll comment en revemr, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

References.- I. Quantum Systems and Classical Behaviour.- 1. Some physical models and nonlinear differential equations.- 2. Physically interesting nonlinear differential equations.- II. Some Exact Results in One-Dimensional Space.- 3. The Nonlinear Schrödinger equation and the Landau-Lifshitz equation.- 4. Nonlinear Schrödinger equation with U(p,q) internal symmetry and the SG equation.- III. Noncompact Symmetries and Bose Gas.- 5. Dynamical symmetry and generalized coherent states.- 6. Bose gas, integrable NSE and Landau-Lifshitz models.- 7. ?6theory and Bose-drops.- IV. Soliton-Like Solutions in One-Dimension.- 8. The class of soliton solutions to the vector version of NSE with self-consistent potentials.- 9. The existence of soliton-like solutions.- 10. Soliton stability.- V. Phenomenology of D = 1 Solitons.- 11. Dynamics of the formation and interaction of plane solitons.- 12. Structural stability and pinning of solitons.- 13. Dynamical structure factors of soliton gas.- VI. Many-Dimensional Solitons.- 14. Existence and stability.- 15. Pulsons and Q-solitons.- 16. Interaction of Q-solitons.

Erscheint lt. Verlag	21.4.2014
Reihe/Serie	Mathematics and its Applications ; 33
Reihe/Serie	Mathematics and its Applications ; 33
Zusatzinfo	XI, 452 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Analysis
ISBN-10	94-010-7494-1 / 9401074941
ISBN-13	978-94-010-7494-0 / 9789401074940
Zustand	Neuware