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Letter to the Editor on the Korteweg-de Vries-type systems inspired by Results Phys. 51, 106624 (2023) and 50, 106566 (2023)
被引:18
作者:

Gao, Xin-Yi
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机构:
North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
机构:
[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
关键词:
Enlarged three-coupled Korteweg-de Vries;
system;
Symbolic computation;
Backlund transformations;
Solitons;
Singular manifold;
D O I:
10.1016/j.rinp.2023.106932
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
Results Phys. 51, 106624 (2023) and 50, 106566 (2023) have recently made some outstanding contributions to the studies of certain Korteweg-de Vries (KdV)-type systems. Inspired by those contributions, around a non characteristic movable singular manifold, this Letter works out two sets of the auto-Backlund transformations for an enlarged three-coupled KdV system, along with some solitons. All of our results rely on the coefficients in that system.
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Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System
[J].
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[3]
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[J].
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.
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.
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Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrodinger system
[J].
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[J].
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[J].
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