Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2002-03-27
Nonlinear Sciences
Exactly Solvable and Integrable Systems
16 pages
Scientific paper
10.1088/0305-4470/35/22/309
Perturbative Symmetry Approach is formulated in symbolic representation.
Easily verifiable integrability conditions of a given equation are constructed
in the frame of the approach. Generalisation for the case of non-local and
non-evolution equations is disscused. Application of the theory to the
Benjamin-Ono and Camassa-Holm type equations is considered.
Mikhailov Alexander. V.
Novikov Sergey V.
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