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Two reliable methods for solving variants of the KdV equation with compact and noncompact structures. (English) Zbl 1084.35079
Summary: We use the sine-cosine and the tanh methods for solving variants of the KdV equation. Compact and noncompact physical solutions for these variants with dispersive effects are formally derived. The study also examines the role of coefficients of the derivatives of the equation and its exponents in affecting the physical structures of the solutions.

##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations
MACSYMA
Full Text:
##### References:
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