Lump solutions of the 2D Toda equation
Copyright policy )Lump solutions of the 2D Toda equation
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.
- Florida Southern College United States
- Beijing University of Technology China (People's Republic of)
- Beijing University of Chemical Technology China (People's Republic of)
- Brock University Canada
- University of South Florida United States
integrable equations, soliton solutions, KdV equations (Korteweg-de Vries equations), 2D Toda equation, Soliton solutions, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, integrable hierarchies, lump solutions
integrable equations, soliton solutions, KdV equations (Korteweg-de Vries equations), 2D Toda equation, Soliton solutions, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, integrable hierarchies, lump solutions
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