Questions proposées. Problèmes de dynamique
Questions proposées. Problèmes de géométrie
Questions proposées. Problèmes de géométrie
Questions proposées. Problèmes de géométrie
Rearrangement of lattice particles.
Recursion in curve geometry.
Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.
Restricted flows and the soliton equation with self-consistent sources.
Riesz potentials for Korteweg-de Vries solitons and Sturm-Liouville problems.
Self-similarly expanding networks to curve shortening flow
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
Solitary wave and other solutions for nonlinear heat equations
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary wave solutions is described. The generalization of the Fisher equation is proposed whose solutions propagate with arbitrary ad hoc fixed velocity.
Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
Solitary waves in massive nonlinear -sigma models.
Solitary waves of generalized Kadomtsev-Petviashvili equations
Soliton and periodic wave solutions to the osmosis equation.
Soliton scattering by delta impurities
Solitonová řešení a metoda obráceného rozptylu
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, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation.
Solutions classification to the extended reduced Ostrovsky equation.