Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Pranab Krishna Chanda"'
Autor:
Pranab Krishna Chanda, Indranil Mitra
Publikováno v:
Annals of Pure and Applied Mathematics. 14:417-426
Publikováno v:
Pramana. 70:763-777
The equations obtained by Yang while discussing the condition of self-duality of SU(2) gauge fields on Euclidean four-dimensional space have been generalized. Exact solutions and their graphical representations for the generalized equation (for some
Publikováno v:
Pramana. 68:535-545
Painleve test for integrability for the combined equations generated from Yang’s self-dual equations for SU (2) gauge fields and Charap’s equations for chiral invariant model of pion dynamics faces some peculiar situations that allow none of the
Publikováno v:
Pramana. 66:961-969
It has been shown that the field equations for Charap’s chiral invariant model of the pion dynamics pass the Painleve test for complete integrability in the sense of Weisset al. The truncation procedure of the same analysis leads to auto-Backlund t
Publikováno v:
Pramana. 63:1039-1045
Some previously obtained physical solutions [1–3] of Yang’s equations forSU(2) gauge fields [4], Charap’s equations for pion dynamics [5,6] and their combination as proposed by Chakraborty and Chanda [1] have been presented. They represent diff
Publikováno v:
Pramana. 52:579-591
Two sets of nonlinear partial differential equations originating from two different physical situations have been combined and a new set of nonlinear partial differential equations has been formed wherefrom the previous two sets can be obtained as pa
Publikováno v:
International Journal of Theoretical Physics. 34:2223-2244
Under some assumptions and transformations of variables, Yang's equations forR-gauge fields on Euclidean space lead to conformally invariant equations permitting one to obtain infinitely many other solutions from any solution of these conformally inv
Publikováno v:
Journal of Mathematical Physics. 29:843-850
The complete integrability of a new system of nonlinear equations using the technique of Painleve analysis has been investigated. The system essentially represents a coupling of Boussinesq and Schrodinger equations through nonlinear terms. While the
Autor:
Dipankar Ray, Pranab Krishna Chanda
Publikováno v:
Journal of Mathematical Physics. 24:1923-1926
Small has given a set of equations for stationary electromagnetic wave envelopes in a cubically nonlinear two‐dimensional medium and has obtained some particular solutions. These solutions are generalized. Some solutions of the Ginzburg–Pitaevski
Publikováno v:
Journal of Mathematical Physics. 25:2557-2562
Some new exact solutions of the nonlinear field equations for the chiral invariant model of pion dynamics are presented here. These solutions are a further generalization of some previous works presented by one of the authors (Ray). It is interesting