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A (2+1)-dimensional ffh-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p = 5. Te new equation possesses the same bilinear form as the standard (2+1)-dimensional ffh-order KdV equation. By Maple symbolic computation, classes of lump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation. We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions. Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.

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Advances in Mathematical Physics, v. 2018, art. 2062398