Bilinear forms and dark-soliton solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber
作者： Chen Zhao , Yi-Tian Gao , Zhong-Zhou Lan , Jin-Wei Yang , Chuan-Qi Su
DOI: 10.1142/S0217984916503127
关键词: Phase (waves) 、 Attosecond 、 Physics 、 Optical fiber 、 Nonlinear Schrödinger equation 、 Trigonometric functions 、 Quantum mechanics 、 Amplitude 、 Bilinear form 、 Soliton
摘要: In this paper, a fifth-order variable-coefficient nonlinear Schrodinger equation is investigated, which describes the propagation of attosecond pulses in an optical fiber. Via Hirota’s method and auxiliary functions, bilinear forms dark one-, two- three-soliton solutions are obtained. Propagation interaction solitons discussed graphically: We observe that solitonic velocities only related to β1(x), β2(x), β3(x) β4(x), coefficients second-, third-, fourth- terms, respectively, with x being scaled distance, while amplitudes β3(x), β4(x) as well wave number. When constants, or linear, quadratic trigonometric functions x, we obtain parabolic, cubic periodic solitons, respectively. Interactions between (among) two (three) depicted, can be regarded elastic because remain unchanged except for some phase shifts after each
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