sigma06-041. 155KB Jun 04 2011 12:09:51 AM
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The Hamil- tonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell–Bloch equations.. Key
The method of approximate conditional symmetries for partial differential equations with a small parameter was suggested by Mahomed and Qu [ 8 ] (point symmetries), Kara, Mahomed and
Using the constructed algebras we have obtained new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.. Further, more
The choice of plus sign leads to an integrable equation which supports compactons, whereas the minus sign is the water wave model derived by Camassa–Holm, whose solitary wave
Section 3 introduces a box scheme model for problem ( 1 ), and existence and uniqueness of the solution of the approximating problem ( 12 ) is obtained from the fixed point theorem
Recently, Sokolov and Wolf [1] applied the Kovalevskaya–Lyapunov test for integrability to a class of quadratic Hamiltonians and selected in this way five cases, out of which
Due to Theorem 1 the Killing vector fields which we obtain by {K , K} are parallel with respect to the Levi-Civita connection if K is strongly torsion
Using a homomorphism associated with the quantum Sylvester theorem, we provide an ex- plicit construction of the skew representations of the quantum affine algebra U q ( gl b n )..