We classify (up to an isomorphism in the category of affine groups) the complex
crystallographic groups generated by reflections and such that d, its linear part, is
a Coxeter group, i.e., d is generated by "real" reflections of order 2.
For the first time we show that the quasiclassical limit of the symmetry constraint of
the Sato operator for the KP hierarchy leads to the generalized Zakharov reduction of
the Sato function for the dispersionless KP (dKP) hierarchy which has been proved to
be result of symmetry constraint of the...
Lie group analysis is applied to a core group model for sexually transmitted disease
formulated by Hadeler and Castillo-Chavez [Hadeler K P and Castillo-Chavez C, A
core group model for disease transmission, Math. Biosci. 128 (1995), 4155]. Several
instances of integrability even linearity are found...
We revisit an integrable (indeed, superintegrable and solvable) many-body model itroduced almost two decades ago by Gibbons and Hermsen and by Wojciechowski,
and we modify it so that its generic solutions are all isochronous (namely, completely
periodic with fixed period). We then show how this model...
We study local conservation laws and corresponding boundary conditions for the ptential Zabolotskaya-Khokhlov equation in (3+1)-dimensional case. We analyze an
infinite Lie point symmetry group of the equation, and generate a finite number of
conserved quantities corresponding to infinite symmetries...
The formal Heisenberg equations of the Federbush model are linearized and then are
directly integrated applying the method of dynamical mappings. The fundamental
role of two-dimensional free massless pseudo-scalar fields is revealed for this procedure
together with their locality condition taken into...
The paper investigates some special Lie type symmetries and associated invariant
quantities which appear in the case of the 2D Ricci flow equation in conformal gauge.
Starting from the invariants some simple classes of solutions will be determined.