Integrable Quasilinear Equations |
| |
Authors: | R Hernández Heredero |
| |
Institution: | (1) Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain |
| |
Abstract: | We develop a classification scheme for integrable third-order scalar evolution equations using the symmetry approach to integrability. We use this scheme to study quasilinear equations of a particular type and prove that several equations that were suspected to be integrable can be reduced to the well-known Korteweg–de Vries and Krichever–Novikov equations via a Miura-type differential substitution. |
| |
Keywords: | classification of integrable differential equations formal symmetry approach differential substitutions |
本文献已被 SpringerLink 等数据库收录! |