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Computer Classification of the Integrable Coupled Kdv-like Systems with Unit Main Matrix

✍ Scribed by A.Yu. Zharkov


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
145 KB
Volume
15
Category
Article
ISSN
0747-7171

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✦ Synopsis


The classification of 2-component systems of equations for the form (u_{i}^{i}=u_{x x x}^{i}+c_{i j} u^{i} u_{x}^{j}(i, j=) 1,2 ) which possess higher symmetries is given. A new class of such integrable KdV.like systems is obtained. All the computations have been done using the REDUCE computer algebra system.