![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Open AccessFrom one to infinity: symmetries of integrable systems
Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely many symmetries or conserved quantities. In this letter, taking...
-
Article
Open AccessDeformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm....
-
Article
Open AccessDuality of positive and negative integrable hierarchies via relativistically invariant fields
It is shown that the relativistic invariance plays a key role in the study of integrable systems. Using the relativistically invariant sine-Gordon equation, the Tzitzeica equation, the Toda fields and the seco...
-
Article
Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
Assuming that there exist at least two fermionic parameters, the classical \( \mathcal{N}=1 \) supersymmetric Korteweg-...