Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Solitary waves in massive nonlinear -sigma models.
Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Soliton and periodic wave solutions to the osmosis equation.
Soliton scattering by delta impurities
Solitons and large time behavior of solutions of a multidimensional integrable equation
Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.
Solitons of the sine-Gordon equation coming in clusters.
In the present paper, we construct a particular class of solutions of the sine-Gordon equation, which is the exact analogue of the so-called negatons, a solution class of the Korteweg-de Vries equation discussed by Matveev [17] and Rasinariu et al. [21]. Their characteristic properties are: Each solution consists of a finite number of clusters. Roughly speaking, in such a cluster solitons are grouped around a center, and the distance between two of them grows logarithmically. The clusters themselves...
Solitons on pseudo-Riemannian manifolds: Stability and motion.
Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation.
Stability of solitary waves for derivative nonlinear Schrödinger equation