A NEW TWO-COMPONENT SYSTEM MODELLING SHALLOW-WATER WAVES

被引：8
|
作者：
Ionescu-Kruse, Delia [1 ]
机构：
[1] Romanian Acad, Simion Stoilow Inst Math, Res Unit 6, POB 1-764, Bucharest 014700, Romania
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2015年 / 73卷 / 02期
关键词：
Shallow-water waves; variational methods; Hamiltonian structures; solitary waves; PROPAGATION SPEED; BREAKING WAVES; DERIVATION; EQUATIONS; EXISTENCE;
D O I：
10.1090/S0033-569X-2015-01369-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For propagation of surface shallow-water waves on irrotational flows, we derive a new two-component system. The system is obtained by a variational approach in the Lagrangian formalism. The system has a noncanonical Hamiltonian formulation. We also find its exact solitary-wave solutions.
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页码：331 / 346
页数：16
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