Symmetries and Bi-Hamiltonian Structures of 2 + 1 Dimensional Systems -- Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering -- On the Inverse Scattering Transform for the n-dimensional Schrödinger Operator -- ...
This book challenges and intrigues from beginning to end.
... Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, eds. M.J. Ablowitz, B. Fuchssteiner and M. Kruskal (World Scientific, Singapore, 1987) p. 150. [23] G.L. Wiersma and H.W. Capel, Physica. 142A (1987) 199. [24] H.W. Capel, ...
(For further details, see, for example, Deift and Trubowitz [1979, p.146]; Dodd, Eilbeck, Gibbon and Morris [1982, ... bound states {/s,,}]v, and norming constants {C',,}]V, which is a generalization of the following theorem due to ...
... Solvable equations, Nonlinear Evolution equations and Dynamical Systems Boiti, F. Pempinelli, G. Soliani eds ... Theory of Solitons, The Inverse Scattering Method, Consultants Bureau, New York-London, 1984 ['20] Pl. Olver: Evolution ...
Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29 - December 2, 1989
Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century.
... Topics in Soliton Theory and Exactly solvable Nonlinear equations ( eds : M. Ablowitz , B. Fuchssteiner , M. Kruskal ) World Scientific Publ . , pp . 108-124 , Singapore , 1987 . [ 39 ] Perk , J. H. H. , " Time - dependent Correlations ...
... Solitons (also see chapter 2) M. J. Ablowitz, F. Fuchssteiner and M. Kruskal (1987), eds. Topics in Soliton Theory and Exactly Solvable Nonlinear Equations, Conf. Proc., World, Singapore. M. J. Ablowitz, D. J. Kaup, A. C. Newell and H ...
... equation and the associated Kadomtsev-Petviashvili (I) equation, Stud. Appl. Math., 69,211 (1983). A.S. Fokas and M.J. Ablowitz, On the inverse scattering transform of multidimensional nonlinear equations related to first order systems ...
The soliton represents one ofthe most important ofnonlinear phenomena in modern physics.