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We study a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell’s polynomials, an effective way is employed to succinctly… Click to show full abstract
We study a (2 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bell’s polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.
Keywords:
solitary waves;
kadomtsev petviashvili;
waves rogue;
dimensional generalized;
equation;
generalized kadomtsev
Journal Title: Modern Physics Letters B
Year Published: 2017
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Journal Title: Modern Physics Letters B
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!