I have written 3 nonlinear, coupled equations to describe a system. I have heard about soliton solutions for nonlinear equations, but I don't know anything about them. Could anyone introduce a good reference for someone who doesn't know anything about soliton solutions of nonlinear equations? I have searched before but results were not good for someone who wants to now simply about them. I'm a physics student and I don't want to read an expert book on mathematics. I just want to understand the concept and how to use it if necessary.
reference for soliton solutions
2
$\begingroup$
nonlinear-system
nonlinear-analysis
soliton-theory
2 Answers
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Try the book P. G. Drazin: Solitons: An Introduction. It offers a nice introduction to the subject.
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Also consider looking into Alex Kasman's Glimpses of Soliton Theory which while perhaps more mathematically inclined than Drazin's still is quite accessible.