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Long Van Cao
artykuł
Dinh Thuan Bui, Goldstein Piotr, Viet Hung Nguyen, Hoai Son Doan
In this paper, using a general propagation equation of ultrashort pulses in an arbitrary dispersive nonlinear medium derived in [8] we study in the specific case of Kerr media. An obtained ultrashort pulse propagation equation which is called Generalized Nonlinear Schrödinger Equation usually has a very complicated form and looking for its solutions is usually a “mission impossible”. Theoretical methods to solve this equation are effective only for some special cases. As an example we describe the method of a developed elliptic Jacobi function expansion. Several numerical methods of finding approximate solutions are simultaneously used. We focus mainly on the following methods: Split-Step, Runge-Kutta and Imaginary-time algorithms. Some numerical experiments are implemented for soliton propagation and interacting high order solitons. We consider also an interesting phenomenon: the collapse of solitons.
Poznań
OWN
2010.09.13
2010.06.29
application/pdf
oai:lib.psnc.pl:706
eng
Aug 19, 2014
Jun 27, 2014
261
https://lib.psnc.pl/publication/888
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OAI-PMH
Long Van Cao Xuan Khoa Dinh, Trippenbach Marek
Cao Long Van
Cao Long Van Nguyen Viet Hung, Trippenbach Marek, Dinh Xuan Kho
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