Using generalized bilinear equations, we construct a (3+1)dimensional Jimbo–Miwalike equation which possesses the same bilinear type as the standard (3+1)dimensional Jimbo–Miwa equation. Classes of lumptype solutions and interaction solutions between lumptype and kink solutions to the resulting Jimbo–Miwalike equation are generated through Maple symbolic computation. We discuss the conditions guaranteeing analyticity and positiveness of the solutions. By taking special choices of the involved parameters, 3D plots are presented to illustrate the dynamical features of the solutions.
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Lump solutions to a (2+1)dimensional fifthorder KdVlike equation
A (2+1)dimensional fifthorder KdVlike equation is introduced through a generalized bilinear equation with the prime number . The new equation possesses the same bilinear form as the standard (2+1)dimensional fifthorder 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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 Award ID(s):
 1664561
 NSFPAR ID:
 10079096
 Date Published:
 Journal Name:
 Advances in Mathematical Physics (Print)
 Volume:
 2018
 ISSN:
 16879120
 Page Range / eLocation ID:
 2062398
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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