Journal of Nonlinear Mathematical Physics

Volume 15, Issue 3, November 2008
V. A. Atanasov, V. S. Gerdjikov, G G Grahovski, N. A. Kostov
Pages: 291 - 298
A three-component nonlinear Schrodinger-type model which describes spinor Bose-Einstein condensate (BEC) is considered. This model is integrable by the inverse scattering method and using Zakharov-Shabat dressing method we obtain three types of soliton solutions. The multi-component nonlinear Schr¨odinger...
Anthony C. L. Ashton
Pages: 316 - 332
We introduce a method to construct conservation laws for a large class of linear partial differential equations. In contrast to the classical result of Noether, the conserved currents are generated by any symmetry of the operator, including those of the non-Lie type. An explicit example is made of the...
Runliang Lin, Xiaojun Liu, Yunbo Zeng
Pages: 333 - 347
A method is proposed in this paper to construct a new extended q-deformed KP (q-KP) hiearchy and its Lax representation. This new extended q-KP hierarchy contains two types of q-deformed KP equation with self-consistent sources, and its two kinds of reductions give the q-deformed Gelfand-Dickey hierarchy...