Quantum affine reflection algebras of type d_n^(1) and reflection matrices

Quantum affine reflection algebras are coideal subalgebras of quantum affine algebras that lead to trigonometric reflection matrices (solutions of the boundary Yang–Baxter equation). In this paper we use the quantum affine reflection algebras of type $$d_n^{\left( 1 \right)}$$ to determine new n-parameter families of nondiagonal reflection matrices. These matrices describe the reflection of vector solitons off the boundary in $$d_n^{\left( 1 \right)}$$ affine Toda field theory. They can also be used to construct new integrable vertex models and quantum spin chains with open boundary conditions.