A modified nonlinear Schrodinger equation (MNLSE), which is defined as the equationobtained by putting some higher-order terms (the higher-order dispersion and nonlinearity)into a nonlinear Schrodinger equation (NLSE)...A modified nonlinear Schrodinger equation (MNLSE), which is defined as the equationobtained by putting some higher-order terms (the higher-order dispersion and nonlinearity)into a nonlinear Schrodinger equation (NLSE), has been derived from the Maxwell equationsin a nonlinear medium with the derivative-expansion procedure in the method of multi-scalesingular perturbation. Meanwhile its two equivalent expressions are given. First, the firstfourth-order perturbed equations of the Maxwell equations in a source-free nonlinear mediumwaveguide are obtained. Then, in the special case of the monomode waveguide, the third-or-der perturbed equation solution is the NLSE, and the fourth-order one is MNLSE. Carefulinvestigation shows that the MNLSE obtained with the reductive perturbation technique (Y.Kodama and A. Hasegawa, IEEE J. Quantum Electron, QE-23(1987), 510)should be corrected.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘A modified nonlinear Schrodinger equation (MNLSE), which is defined as the equationobtained by putting some higher-order terms (the higher-order dispersion and nonlinearity)into a nonlinear Schrodinger equation (NLSE), has been derived from the Maxwell equationsin a nonlinear medium with the derivative-expansion procedure in the method of multi-scalesingular perturbation. Meanwhile its two equivalent expressions are given. First, the firstfourth-order perturbed equations of the Maxwell equations in a source-free nonlinear mediumwaveguide are obtained. Then, in the special case of the monomode waveguide, the third-or-der perturbed equation solution is the NLSE, and the fourth-order one is MNLSE. Carefulinvestigation shows that the MNLSE obtained with the reductive perturbation technique (Y.Kodama and A. Hasegawa, IEEE J. Quantum Electron, QE-23(1987), 510)should be corrected.
