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Physical Sciences and Mathematics Commons

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Publications

2009

Solitons

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Numerical Simulations Of Snake Dissipative Solitons In Complex Cubic-Quintic Ginzburg-Landau Equation, S.C. Mancas, Harihar Khanal Apr 2009

Numerical Simulations Of Snake Dissipative Solitons In Complex Cubic-Quintic Ginzburg-Landau Equation, S.C. Mancas, Harihar Khanal

Publications

Numerical simulations of the complex cubic-quintic Ginzburg-Landau equation (CCQGLE), a canonical equation governing the weakly nonlinear behavior of dissipative systems in a wide variety of disciplines, reveal five entirely novel classes of pulse or solitary waves solutions, viz. pulsating, creeping, snaking, erupting, and chaotical solitons. Here, we develop a theoretical framework for analyzing the full spatio-temporal structure of one class of dissipative solution (snaking soliton) of the CCQGLE using the variational approximation technique and the dynamical systems theory. The qualitative behavior of the snaking soliton is investigated using the numerical simulations of (a) the full nonlinear complex partial differential equation …


Interaction Of Tollmien-Schlichting Waves In The Air With The Sea Surface, Shahrdad G. Sajjadi, Harihar Khanal Jan 2009

Interaction Of Tollmien-Schlichting Waves In The Air With The Sea Surface, Shahrdad G. Sajjadi, Harihar Khanal

Publications

No abstract provided.