This article is cited in 6 papers

Generalized solitons of the Schrödinger equation with unitary nonlinearity

Vo Khan' Fuk, V. M. Chetverikov


Abstract: Schrödinger equations containing a nonlinear integral term are considered. For some types of “self-interaction potential” an exact solution of soliton type is constructed. An example is given for obtaining an almost-solution in the asymptotic sense by means of harmonic approximation of the potential. A diagram technique is proposed for solving the Cauchy problem perturbatively.

Received: 19.10.1977

 English version: Theoretical and Mathematical Physics, 1978, 36:3, 779–783

Bibliographic databases:

•