sigma10-044. 430KB Jun 04 2011 12:10:39 AM
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The mechanical analogy in the search for solitary waves in (1 + 1)-dimensional relativistic field theories, [ 9 ], is the re- reading of the static field equations as the
In this paper the method of solving the existence problem of Hamiltonian representations for the coupled Lax-type hierarchies on extended phase spaces which was proposed in [16, 18,
The action ( 2.6 ) leads to 13 tree level vertices whose rather lengthy expressions are listed in Appendix A. all vertices with one B, one ¯ B and an arbitrary number of A legs
the examples presented here provide an indication that the (strong) Poincar´e duality in non- commutative geometry could be understood as existence of an isomorphism
The development of these ideas has followed two complementary ways, namely (i) the dimensional reduction of a higher-dimensional gauge theory over fuzzy internal spaces [ 19 ] and
Indeed, a list of exactly solvable one-dimensional prob- lems (Harmonic oscillator, Coulomb, Morse, P¨ oschl–Teller potentials etc.) was obtained by an algebraic procedure in
A representation of the affine Weyl groups can be lifted on the level of the τ functions [10, 11, 33], which gives rise to various bilinear equations of Hirota type satisfied the
The purpose of this paper is to reduce the equations of dispersive flows ( 1 ) and ( 2 ) to complex valued equations by constructing a good moving