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A method for finding \(N\)-soliton solutions of the KdV equation and KdV-like equation. (English) Zbl 1125.35400
Summary: To find \(N\)-soliton solutions of the KdV equation, a method which can be also applicable to the so-called KdV-like equation is presented. This equation belongs to another series than the class of equations solvable by the inverse scattering method for the Schrödinger equation.

MSC:
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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