Professor Rogers has made seminal contributions to the theory and application of reciprocal relations, Backlund transformations and Bergman series methods in Continuum Mechanics. He has pioneered their use in the solution of physically important boundary value problems. In Soliton Theory, he demonstrated that reciprocal transformations not only provide fundamental links between integrable hierarchies but also induce auto-Backlund transformations whereby multi-solitons can be constructed. His work on infinitesimal Backlund transformations has led to the discovery of an important new class of soliton equations. This contains the long sought 2+ 1 -dimensional integrable version of the classical sine Gordon equation.