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Korteweg-de Vries equation: A completely integrable Hamiltonian system

✍ Scribed by V. E. Zakharov; L. D. Faddeev

Publisher
Springer US
Year
1972
Tongue
English
Weight
494 KB
Volume
5
Category
Article
ISSN
0016-2663

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πŸ“œ SIMILAR VOLUMES

PainlevΓ© analysis of a new integrable no
PainlevΓ© analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation
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PainlevC (P-) analysis of a new integrable nonautonomous K-dV equation is performed and it is shown that the equation does possess the P-property. The bilinear tranformation is obtained straightforwardly from the Painlevk analysis.

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introduce a numerical method for general coupled Korteweg-deVries systems. The scheme is valid for solving Cauchy problems for an arbitrary number of equations with arbitrary constant coefficients. The numerical scheme takes its legality by proving its stability and convergence, which gives the cond