Lump Waves in a Spatial Symmetric Nonlinear Dispersive Wave Model in (2+1)-Dimensions
Wen‐Xiu Ma
Abstract
This paper aims to search for lump waves in a spatial symmetric (2+1)-dimensional dispersive wave model. Through an ansatz on positive quadratic functions, we conduct symbolic computations with Maple to generate lump waves for the proposed nonlinear model. A line of critical points of the lump waves is computed, whose two spatial coordinates travel at constant speeds. The corresponding maximum and minimum values are evaluated in terms of the wave numbers, and interestingly, all those extreme values do not change with time, either. The last section is the conclusion.
Topics & Concepts
MapleAnsatzQuadratic equationNonlinear systemSection (typography)Mathematical analysisComputationMathematicsLine (geometry)Quadratic functionPhysicsGeometryMathematical physicsQuantum mechanicsComputer scienceAlgorithmBiologyOperating systemBotanyNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models