Classical Integrable Super sinh-Gordon equation with defects

Abstract

The introduction of defects is discussed under the Lagrangian formalism and Backlund transformations for the N=1 super sinh-Gordon model. Modified conserved momentum and energy are constructed for this case. Some explicit examples of different Backlund solitons solutions are discussed. The Lax formulation within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion

Latex 16 pages. To appear in J. Phys. A, Mathematical and General

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Cited by in corpus (20)

• Solving topological defects via fusion
• Type-II Bäcklund Transformations via Gauge Transformations
• Introduction to classical and quantum integrability
• Semiclassical analysis of defect sine-Gordon theory
• Integrablility of a Classical $N=2$ Super Sinh-Gordon Model with Jump Defects
• Permutability of Backlund Transformation for N=1 Supersymmetric Sinh-Gordon
• Inverse scattering approach for massive Thirring models with integrable type-II defects
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Type-II defects in the super-Liouville theory
• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Generalized Backlund transformations for Affine Toda Hierarchies
• Classical Integrable N=1 and $N=2$ Super Sinh-Gordon Models with Jump Defects
• Aspects of defects in integrable quantum field theory
• Purely transmitting integrable defects
• Quantum anomalies in A^{(1)}_r Toda theories with defects
• Integrable Defects at Junctions within a Network
• Aspects of Purely Transmitting Defects in Integrable Field Theories
• Fusing defect for the N=2 super sinh-Gordon model
• Integrable Field Theories with Defects