Stroll Through the Soliton Theory

摘要

The following sections are included: (1) ion plasma waves and the KdV equation, (2) Burger's equation, (3) symmetries, (4) nonlinearity, dissipation, and dispersion, (5) solitons and cnoidal waves, (6) Miura, Gardner, and Backlund transformations, (7) conservation laws, (8) multisoliton solutions and the superposition principle, (9) time independent Schroedinger equation, and (10) inverse scattering theory. (ERA citation 10:017590)