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Soliton formation in a nonlinear lossy lc ladder network with quadratic polynomial expression for the c‐v characteristic of the network capacitors
Author(s) -
GhafouriShiraz H.,
Shum P.
Publication year - 1994
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650071409
Subject(s) - soliton , quadratic equation , capacitor , nonlinear system , polynomial , mathematics , expression (computer science) , lossy compression , quadratic function , korteweg–de vries equation , series (stratigraphy) , mathematical analysis , fourier transform , fourier series , physics , voltage , computer science , quantum mechanics , geometry , statistics , programming language , paleontology , biology
We propose a quadratic polynomial expression for the C‐V characteristic of the nonlinear capacitor of the LC ladder network and investigate the soliton propagation in such networks using a modified Korteweg‐de Vries (MKdV) equation. The MKdV equation has been solved by a novel technique which is based on the Fourier‐series analysis. Our theoretical results are in good agreement with experiment. © 1994 John Wiley & Sons, Inc.