Moving boundary problems for a canonical member of the WKI inverse scattering scheme: conjugation of a reciprocal and Mobius transformation

被引：4
|
作者：
Rogers, Colin [1 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
PHYSICA SCRIPTA | 2022年 / 97卷 / 09期
关键词：
reciprocal; moving boundary; integrable; PAINLEVE II REDUCTION; BACKLUND-TRANSFORMATIONS; STRESS-CONCENTRATION; OPERATOR METHOD; SYSTEMS; WAVES; NLS; HETEROGENEITY; PROPAGATION; EVOLUTION;
D O I：
10.1088/1402-4896/ac8841
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Reciprocal links between certain solitonic systems and their hierarchies are well-established. Moreover, the AKNS and WKI inverse scattering schemes are known to be connected by a composition of gauge and reciprocal transformations. Here, a reciprocal transformation allied with a Mobius-type mapping is applied to a class of Stefan-type problems for the solitonic Dym equation to generate a novel exact parametric solution to a class of moving boundary problems for a canonical member of the WKI system.
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页数：10
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