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6 - Numerical Simulation of Solitons

Published online by Cambridge University Press:  17 September 2021

Alexander Komech  and
Elena Kopylova
Alexander Komech
Affiliation:
Universität Wien, Austria
Elena Kopylova
Affiliation:
Universität Wien, Austria
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Summary

In this chapter we describe the results of joint work withArkady Vinnichenko (1945--2009) on numerical simulation of (1) global attraction to solitonsand (2) adiabatic effective dynamics of the solitons forrelativistic 1D nonlinear wave equations.

Keywords

kinksolitonsolitary manifoldeffective dynamicsadiabatic asymptoticseffective Hamiltonian slowly varying potentialLorentz contractionEinstein time delationdispersion relation
Type
Chapter
Information
Attractors of Hamiltonian Nonlinear Partial Differential Equations , pp. 170 - 177
Publisher: Cambridge University Press
Print publication year: 2021

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