The Key Laboratory of Biomedical Information Engineering of Education Ministry;
Separation Science Institute;
Xi'an Jiaotong University;
Xi'an 710049;
China The Key Laboratory of Biomedical Information Engineering of Education Ministry;
Separation Science Institute;
Xi'an Jiaotong University;
Xi'an 710049;
China;
nonlinear; chromatography; Lagrangian; description; recursion; equations; convection-diffusion; equations; shock; waves.;