The sine-Gordon equation has hyperelliptic al function solutions over a hyperelliptic Jacobian for y = f(x) of arbitrary genus g. This article gives an extension of the sine-Gordon equation to that over subvarieties of the hyperelliptic Jacobian. We also obtain the condition that the sine-Gordon equation in a proper subvariety of the Jacobian is defined.

Singular Gordon potentials are defined to be distributions from the space W −1 2,unif (R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials .

The modified decomposition method has been implemented for solving a coupled Klein-Gordon Schrödinger equation. We consider a system of coupled Klein-Gordon Schrödinger equation with appropriate initial values using the modified decomposition method. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions of coupled Klein-Gordon Schr...

2 Education and Qualifications 1983 MEng. Manufacturing Sciences & Engineering University of Strathclyde 1987 Postgraduate Diploma in Management Studies Robert Gordon’s Institute of Technology 2002 MSc. Computing: Software Technology (Distinction) The Robert Gordon University 2004 Postgraduate Cert. in Research Methods (Distinction) The Robert Gordon University 2006 PhD Computing Science The Ro...

We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space. This generalization gives a noncommutative version of the sinh-Gordon equation with extra constraints, which can be expressed as global conserved currents. PACS: 11.10.Nx, 02.30.Ik

Sir Gordon Holmes is one of the great figures in the history of twentienth century neurology. In him, there came together the traditions of German and British neurology which moulded a physiological approach to normal and disordered function of the nervous system with a commitment to interpreting clinical phenomena in the light of meticulous pathological examination. He, more than any other ind...

In 1980, Bressoud conjectured a combinatorial identity A j = B for 0 or 1, where the function counts number of partitions with certain congruence conditions and difference conditions. Bressoud's conjecture specializes to wide variety well-known theorems in theory partitions. Special cases his have been subsequently proved by Bressoud, Andrews, Kim Yee. Recently, resolved case 1 . this paper, we...