High-order breather, <i>M</i> -kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation
Yulei Cao, Yi Cheng, Jingsong He, Yiren Chen
Abstract
Abstract N -kink soliton and high-order synchronized breather solutions for potential Kadomtsev–Petviashvili equation are derived by means of the Hirota bilinear method, and the limit process of high-order synchronized breathers are shown. Furthermore, M -lump solutions are also presented by taking the long wave limit. Additionally, a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions, their interaction behaviors are shown by three-dimensional plots and contour plots.
Topics & Concepts
BreatherLimit (mathematics)Bilinear interpolationExponential functionBilinear formOrder (exchange)PhysicsMathematical physicsRogue waveMathematical analysisKadomtsev–Petviashvili equationSolitonMathematicsClassical mechanicsNonlinear systemQuantum mechanicsCharacteristic equationPartial differential equationFinanceEconomicsStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsDust and Plasma Wave Phenomena