4.7 Article

New extended Kadomtsev-Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

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Summary: A novel type of breather was reported by studying the Vakhnenko equation describing high-frequency wave propagation in electromagnetic physics. An analytical multiple-valued function solution was constructed using the Hirota bilinear method. Interesting transition phenomena such as soliton to breather transitions were revealed.

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