论文信息 - Exact Solutions of the Cylindrical Toda Molecule Equation - 字舞流文

Exact Solutions of the Cylindrical Toda Molecule Equation

We consider the cylindrical Toda molecule equation, (∂ 2 /∂ r 2 + r -1 ∂/∂ r ) (log V n )- V n +1 +2 V n - V n -1 =0, with the boundary condition V 0 = V N +1 =0. We have constructed exact solutions to the equation by applying the bilinear method.

R. Hirota | A. Nakamura

[1] A. Nakamura. Exact Bessel Type Solution of the Two-Dimensional Toda Lattice Equation , 1983 .

[2] T. Koikawa. EXACT SU(N) MONOPOLE SOLUTIONS WITH SPHERICAL SYMMETRY BY THE INVERSE SCATTERING METHOD , 1982 .

[3] A. Leznov,et al. Spherically Symmetric Equations in Gauge Theories for an Arbitrary Semisimple Compact Lie Group , 1978 .

[4] F. Bais,et al. SU/sub 3/ instantons with cylindrical symmetry , 1978 .

[5] E. Witten. Some exact multipseudoparticle solutions of classical Yang--Mills theory , 1977 .

[6] M. Toda. Development of the Theory of a Nonlinear Lattice , 1976 .

[7] Ryogo Hirota,et al. A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda Lattice , 1976 .

[8] M. Toda. Vibration of a Chain with Nonlinear Interaction , 1967 .