论文信息 - The method of Poincaré normal forms in problems of integrability of equations of evolution type

The method of Poincaré normal forms in problems of integrability of equations of evolution type

CONTENTS Introduction § 1. Changes of variables for evolution equations § 2. Analytic operators § 3. Existence of solutions § 4. Evolution equations in spaces with a basis § 5. Ancillary lemmas § 6. Poincare normalizing transformations § 7. Proof of Theorem 4.1 § 8. Non-linear heat and Schrodinger equations § 9. Generalizations of Theorem 4.1. Diffusion equation § 10. The Hopf-Cole substitution and the Miura transformation § 11. Concluding remarks References

N V Nikolenko | N. V. Nikolenko

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