The soliton: A new concept in applied science
Alwyn ScottDepartment of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USAFlora Y. F. ChuDepartment of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USADavid W. McLaughlinDepartment of Mathematics, Iowa State University, Ames, IA, USA
1973en
ABI
Abstract
The term soliton has recently been coined to describe a pulselike nonlinear wave (solitary wave) which emerges from a collision with a similar pulse having unchanged shape and speed. To date at least seven distinct wave systems, representing a wide range of applications in applied science, have been found to exhibit such solutions. This review paper covers the current status of soliton research, paying particular attention to the very important "inverse method" whereby the initial value problem for a nonlinear wave system can be solved exactly through a succession of linear calculations.
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