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New solitary solutions with compact support for Boussinesq-like $B(2n, 2n)$ equations with fully nonlinear dispersion. (English) Zbl 1139.35091
Summary: The Boussinesq-like equations $B(2n, 2n)$ with fully nonlinear dispersion: $u_{tt} + (u^{2n})_{xx} + (u^{2n})_{xxxx} = 0$, which exhibit compactons, i.e., solitons with compact support, are studied. New exact solitary solutions with compact support are found. The special case $B$(2, 2) is chosen to illustrate the concrete scheme of the decomposition method in $B(2n, 2n)$ equations. General formulas for the solutions of $B(2n, 2n)$ equations are established.

##### MSC:
 35Q53 KdV-like (Korteweg-de Vries) equations 35Q51 Soliton-like equations 35C10 Series solutions of PDE 35A25 Other special methods (PDE)
##### Keywords:
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