Journal of Nonlinear Mathematical Physics
Volume 13, Issue 2, May 2006
Pages: 158 - 162
We clarify and extend some remarks raised in  [Constantin A, J. Math. Phys. 46 (2005), 023506] about the evolution of compactly supported initial data under the Camassa-Holm flow.
Joseph Bernstein, Ossip Schwarzman
Pages: 163 - 182
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.
Gegenhasi, Xing-Biao Hu
Pages: 183 - 192
4. The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources
Ting Xiao, Yunbo Zeng
Pages: 193 - 204
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 dKP...
Pages: 205 - 210
New Cellular Automata associated with the Schroedinger discrete spectral problem are derived. These Cellular Automata possess an infinite (countable) set of constants of motion.
M. Edwards, M.C. Nucci
Pages: 211 - 230
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...
F. Calogero, J-P Françoise
Pages: 231 - 254
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...
Pages: 255 - 270
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...
S.E. Korenblit, V.V. Semenov
Pages: 271 - 284
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...
Rodica Cimpoiasu, Radu Constantinescu
Pages: 285 - 292
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.
Pages: 293 - 301
We solve the problem of constructing entire functions where ln M(r; f) grows like ln2 r from their values at q-n , for 0
Nian-Ning Huang, Hao Cai, Tian Yan, Fan-Rong Xu
Pages: 302 - 314
The Hamiltonian formalism of the Landau-Lifschitz equation for a spin chain with full anisotropy is formulated completely, which constructs a stable base for further investigations.