منابع مشابه
Computer Classification of Integrable Coupled KdV-like Systems
The foundations of the symmetry approach to the classification problem ofintegrable non-linear evolution systems are briefly described. Within the framework of the symmetry approach the ten-parametric family of the third order non-linear evolution coupled KdV-like systems is investigated. The necessary integrability conditions lead to an over-determined non-linear algebraic system. To solve tha...
متن کاملIntegrable Quartic Potentials and Coupled KdV Equations
We show a surprising connection between known integrable Hamiltonian systems with quartic potential and the stationary flows of some coupled KdV systems related to fourth order Lax operators. In particular, we present a connection between the Hirota-Satsuma coupled KdV system and (a generalisation of) the 1 : 6 : 1 integrable case quartic potential. A generalisation of the 1 : 6 : 8 case is sim...
متن کاملTravelling Wave Solutions for the Painlevé-integrable Coupled Kdv Equations
We study the travelling wave solutions for a system of coupled KdV equations derived by Lou et al [11]. In that paper, they found 5 types of Painlevé integrable systems for the coupled KdV system. We show that each of them can be reduced to a partially or completely uncoupled system, through which the dynamical behavior of travelling wave solutions can be determined. In some parameter regions, ...
متن کاملTraveling Wave Solutions for the Painlevé-integrable Coupled Kdv Equations
We study the traveling wave solutions for a system of coupled KdV equations derived by Lou et al [11]. In that paper, they found 5 types of Painlevé integrable systems for the coupled KdV system. We show that each of them can be reduced to a partially or completely uncoupled system, through which the dynamical behavior of traveling wave solutions can be determined. In some parameter regions, ex...
متن کاملINTEGRABLE KdV SYSTEMS: Recursion Operators of Degree Four
The recursion operator and bi-Hamiltonian formulation of the Drinfeld-Sokolov system are given.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1998
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532278