Singular solutions in Casoratian form for two differential-difference equations
This paper is concerned with the existence of solutions for discrete evolution equations. The author constructs several types of singular solutions and mixed solutions in Casoratian form for the Toda lattice and the differential-difference Korteweg-de Vries equation. Using density graphics drawn through Mathematica, some characteristics of singular solutions are studied. Specially, the concepts of singular oscillation point and weak singular oscillation point are introduced and their relations with the above mentioned equations are studied.
scientific article; zbMATH DE number 2167647
scientific article