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題 名 | On the Dissipative Complex Ginzburg-Landau Equation Governing the Propagation of Solitary Pulses in Dissipative Nonlinear Transmission Lines |
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作 者 | Kengne, E.; Tadmon, C.; Vaillancourt, R.; | 書刊名 | Chinese Journal of Physics |
卷 期 | 47:1 2009.02[民98.02] |
頁 次 | 頁80-91 |
分類號 | 335.61 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | A class of dissipative complex Ginzburg-Landau (DCGL) equations that govern the wave propagation in dissipative nonlinear transmission lines is solved exactly by means of the Hirota bilinear method. Two-soliton solutions of the DCGL equations, from which the onesoliton solutions are deduced, are obtained in analytical form. The modified Hirota method imposes some restrictions on the coefficients of the equations, namely, the second-order dispersion must be real. The physical requirement of the solutions imposes complementary conditions on the combination of the dispersion and nonlinear gain/loss terms of the equation, as well as on the coefficient of the Kerr nonlinearity. The analytical solutions for one-solitary pulses are tested in direct simulations. |
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