458 citations · 1.2k across the 8 of their papers we have counts for
8 papers
Nonlinear Reformulation of Heisenberg's Dynamics
Martin Ziegler, Benno Fuchssteiner
A structural similarity between Classical Mechanics (CM) and Quantum Mechanics (QM) was revealed by P.A.M. Dirac in terms of Lie Algebras: while in CM the dynamics is determined by…
Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations
Wen-Xiu Ma, Benno Fuchssteiner
An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of first degree for systems of d…
An Approach to Master Symmetries of Lattice Equations
Benno Fuchssteiner, Wen-Xiu Ma
An approach to master symmetries of lattice equations is proposed by the use of discrete zero curvature equation. Its key is to generate non-isospectral flows from the discrete spe…
Binary Nonlinearization of Lax Pairs
Wen-Xiu Ma, Benno Fuchssteiner
A kind of Bargmann symmetry constraints involving Lax pairs and adjoint Lax pairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs are nonlinearized into a hi…
Integrable Theory of the Perturbation Equations
W. X. Ma, B. Fuchssteiner
An integrable theory is developed for the perturbation equations engendered from small disturbances of solutions. It includes various integrable properties of the perturbation equa…
The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy
Wen-Xiu Ma, Benno Fuchssteiner
The bi-Hamiltonian structure is established for the perturbation equations of KdV hierarchy and thus the perturbation equations themselves provide also examples among typical solit…