On the non-integrability of Roy's system

被引:0
作者
Hone, ANW [1 ]
机构
[1] Univ Roma Tre, Dipartimento Fis E Amaldi, Rome, Italy
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS | 1998年 / 111卷 / 02期
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中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Recently a coupled system of nonlinear evolution equations was introduced by P.K. Roy, together with a proposed bi-Hamiltonian structure and supersymmetric version. In this note we point out that in fact the system only appears to have one Hamiltonian structure, as well as applying Painleve analysis which indicates that the system is non-integrable. We also present travelling wave solutions to the system in terms of the Weierstrass zeta function, together with the degeneration to a solitary wave.
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页码:205 / 209
页数:5
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