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Phase plane Stäckel potential dynamics of the Manakov system

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National Technical University of Athens   

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Phase plane Stäckel potential dynamics of the Manakov system (EN)
Polymilis, C (EN)
Frantzeskakis, DJ (EN)
Hizanidis, K (EN)
journalArticle (EN)
2014-03-01T01:14:02Z
1998 (EN)
A wide class of traveling-wave solutions of the Manakov system of coupled nonlinear Schrödinger equations is found to possess a potential which leads to separability in the Stäckel sense exhibiting two integrals of motion, which facilitates a thorough investigation of this system by nonlinear dynamics phase plane methods. On this basis, specific types of nonlinear waves are identified via a complete phase space trajectory investigation. The topological features of the phase space structure and the asymptotic behavior of the trajectory families involved are studied. Time domain analytical solutions are provided involving hyperelliptic integrals and their series expressions of the latter, in terms of the three elliptic integrals. Among the trajectory families, solitary-type envelope solutions to the Manakov system are easily identified on the basis of a limited number of parameters. (EN)
Physics, Fluids & Plasmas (EN)
Physics, Mathematical (EN)
SCHRODINGER-EQUATIONS (EN)
INTEGRABILITY (EN)
SOLITONS (EN)
SOLITARY WAVES (EN)
NONLINEAR DISPERSIVE MEDIA (EN)
STABILITY (EN)
ION-ACOUSTIC-WAVES (EN)
2-MODE FIBERS (EN)
BIREFRINGENT OPTICAL FIBERS (EN)
PROPAGATION (EN)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics (EN)
English
AMERICAN PHYSICAL SOC (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
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