Related references
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Tian-Yu Zhou et al.
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Yuan Shen et al.
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Chong-Dong Cheng et al.
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Xi-Hu Wu et al.
Summary: This paper investigates an N-coupled high-order nonlinear Schrodinger system using the Darboux transformation method and asymptotic analysis to study the properties of ultrashort optical pulses in an optical fiber. Different-order soliton solutions and their characteristics under various backgrounds are derived and analyzed.
MODERN PHYSICS LETTERS B
(2022)
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Tian-Yu Zhou et al.
Summary: In this paper, a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma is studied. Auto-Backlund transformations are derived based on the truncated Painleve expansion. Bilinear forms are derived using the Hirota method. Multiple-soliton solutions are obtained based on the bilinear forms. One- and two-quasi-soliton solutions are derived using the two- and four-soliton solutions under complex conjugate transformations. Hybrid solutions composed of a soliton and a quasi-soliton wave are obtained via three-soliton solutions under complex conjugate transformations. The interactions between these solitons are derived to be elastic through asymptotic analysis.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
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Xiao-Tian Gao et al.
Summary: This paper investigates a generalized (2+1)-dimensional dispersive long-wave system, which describes the nonlinear and dispersive long gravity waves in two horizontal directions in the shallow water of a wide channel of finite depth or an open sea. By means of symbolic computation and a different method, the same results as those reported previously, i.e., four sets of similarity reductions leading to known ordinary differential equations, are obtained.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
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Fei-Yan Liu et al.
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APPLIED MATHEMATICS LETTERS
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Xin-Yi Gao et al.
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APPLIED MATHEMATICS LETTERS
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APPLIED MATHEMATICS LETTERS
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Dan-Yu Yang et al.
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