Geodesic
The Calogero–Bogoyavlenskii–Schiff Equation in $2+1$ Dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 14-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use the classical and nonclassical methods to obtain symmetry reductions and exact solutions of the $(2+1)$-dimensional integrable Calogero–Bogoyavlenskii–Schiff equation. Although this $(2+1)$-dimensional equation arises in a nonlocal form, it can be written as a system of differential equations and, in potential form, as a fourth-order partial differential equation. The classical and nonclassical methods yield some exact solutions of the $(2+1)$-dimensional equation that involve several arbitrary functions and hence exhibit a rich variety of qualitative behavior.
Keywords: partial differential equations, symmetries. 
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M. S. Bruzón; M. L. Gandarias; C. Muriel; J. Ramíres; S. Saez; F. R. Romero. The Calogero–Bogoyavlenskii–Schiff Equation in $2+1$ Dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 14-26. http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a2/

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