Lump solutions of the 2D Toda equation
Yongli Sun, Wen‐Xiu Ma, Jian‐Ping Yu
Abstract
In this research, the lump solution, which is rationally localized and decays along the directions of space variables, of a 2D Toda equation is studied. The effective method of constructing the lump solutions of this 2D Toda equation is derived, and the constraint conditions that make the lump solutions analytical and positive are obtained as well. Finally, three classes of lump solutions are constructed, 3D plots, density plots, and contour plots are given to illustrate this proposed method.
Topics & Concepts
MathematicsConstraint (computer-aided design)Space (punctuation)Mathematical analysisContour lineApplied mathematicsGeometryComputer sciencePhysicsMeteorologyOperating systemNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models