Abstract: | A method of successive approximations is considered which makes it possible to construct formal solutions of some nonlinear equations concentrated near curves in the plane.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 89, pp. 84–90, 1979.In conclusion, the author thanks V. M. Babich, A. Kachalov, and V. Nomofilov for fruitful discussions and valuable suggestions. |