Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 6, Pages 5079-5098Publisher
WILEY
DOI: 10.1002/mma.7093
Keywords
generalized Kadomtsev– Petviashvili equation; interaction between k‐ lump and k‐ stripe soliton; multifold soliton solutions; multiple rogue wave solutions
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The study focuses on finding multifold soliton solutions for the generalized Kadomtsev-Petviashvili equation, analyzing the different structures of lump solutions and their interactions with other waves.
The multiple rogue wave solutions technique is engaged to seek the multifold soliton solutions for the generalized (2 + 1)-dimensional Kadomtsev-Petviashvili (gKP) equation, which contains one wave, two waves, and triple waves solutions. The second-order derivative will be perused to get the minimum or maximum amount of lump solution. For one case, the lump solution will be shown the bright-dark lump structure, and for another case, the dark lump structure two small peaks and one deep hole can be present. Also, the interaction of lump with periodic waves and the interaction between the lump and two stripe solitons can be catched by introducing the Hirota forms. Simultaneously, the interaction between k-lump and k-stripe soliton wave solutions can be gained by the Hirota operator. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in diagrams by choosing proper amounts.
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