Mixed lump and soliton solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
Yulan Ma, Bang‐Qing Li
Abstract
Under investigation is a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation which can be used to describe nonlinear wave propagation in dissipative media. Via the bilinear transformation method, the mixed lump and soliton solutions are obtained for the equation. The asymptotic behavior of the mixed solutions are analyzed. Furthermore, the fusion and fission behaviors of the lump and soliton are observed for the first time. The lump and soliton can merge into a whole soliton over time, or, on the contrary, the soliton may differentiate into a lump and a new soliton. During the processes, the amplitude of the lump will greatly vary, while the amplitude of the soliton will change slightly.
Topics & Concepts
SolitonDissipative solitonDissipative systemMerge (version control)Bilinear formKadomtsev–Petviashvili equationAmplitudeBilinear interpolationNonlinear systemPhysicsMathematical physicsMathematicsClassical mechanicsMathematical analysisQuantum mechanicsBurgers' equationComputer scienceStatisticsInformation retrievalNonlinear Waves and SolitonsNonlinear Photonic SystemsQuantum Mechanics and Non-Hermitian Physics