Journal
NONLINEAR DYNAMICS
Volume 95, Issue 2, Pages 1027-1033Publisher
SPRINGER
DOI: 10.1007/s11071-018-4612-4
Keywords
Rational solutions; Lump solutions; Variable-coefficient Kadomtsev-Petviashvili equation; Hirota's bilinear form
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Funding
- National Natural Science Foundation of China [81160531]
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In this work, a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation is considered using Hirota's bilinear form and a direct assumption with arbitrary functions. Analytical rational solutions in light of positive quadratic functions and lump solutions of the variable-coefficient Kadomtsev-Petviashvili equation are obtained. These lump solutions describe two types of characters by some three-dimensional graphs and contour plots, which contain bright lump wave and bright-dark lump wave. Meanwhile, periodic structure of the lump wave is also shown.
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