## 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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