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We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulkâ€¦ (More)

- Gustav W Delius, M T Grisaru, Davide Zanon
- 1991

We derive exact, factorized, purely elastic scattering matrices for the affine Toda theories based on the nonsimply-laced Lie algebras a (2) 2nâˆ’1 , b (1) n , c (1) n , d (2) n , and g (1) 2 , as wellâ€¦ (More)

- Gustav W Delius, G. M. Gandenberger
- 1999

We determine the exact quantum particle reflection amplitudes for all known vacua of a (1) n affine Toda theories on the half-line with integrable boundary conditions. (Real non-singular vacuumâ€¦ (More)

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrableâ€¦ (More)

- Gustav W Delius, M T Grisaru, Davide Zanon
- 1991

We derive the exact, factorized, purely elastic scattering matrices for the a (2) 2nâˆ’1 family of nonsimply-laced affine Toda theories. The derivation takes into account the distortion of theâ€¦ (More)

- Samik Datta, Gustav W Delius, Richard Law, Michael J. Plank
- Journal of mathematical biology
- 2011

This paper investigates the stability of the power-law steady state often observed in marine ecosystems. Three dynamical systems are considered, describing the abundance of organisms as a function ofâ€¦ (More)

- Samik Datta, Gustav W Delius, Richard Law
- Bulletin of mathematical biology
- 2010

This paper investigates the dynamics of biomass in a marine ecosystem. A stochastic process is defined in which organisms undergo jumps in body size as they catch and eat smaller organisms. Using aâ€¦ (More)

For the classical principal chiral model with boundary, we give the subset of the Yangian charges which remains conserved under certain integrable boundary conditions, and extract them from theâ€¦ (More)

The type-I simple Lie-superalgebras are sl(m|n) and osp(2|2n). We study the quantum deformations of their untwisted affine extensions Uq(sl(m|n) (1)) and Uq(osp(2|2n) (1)). We identify additionalâ€¦ (More)

Associated with the fundamental representation of a quantum algebra such as Uq(A1) or Uq(A2), there exist infinitely many gauge-equivalent R-matrices with different spectral-parameter dependences. Itâ€¦ (More)