Pranab Krishna Chanda
Articles written in Pramana – Journal of Physics
Volume 52 Issue 3 March 1999 pp 245-256
The field equations for the chiral invariant model of pion dynamics developed by Charap have been revisited. Two new types of solutions of these equations have been obtained. Each type allows infinite number of solutions. It has also been shown that the chiral invariant field equations admit invariance for a transformation of the dependent variables.
Volume 52 Issue 6 June 1999 pp 579-591 Research Articles
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 particular cases. One of the two sets of equations was obtained by Yang  while discussing the condition of self-duality of
Volume 63 Issue 5 November 2004 pp 1039-1045
Some previously obtained physical solutions [1–3] of Yang’s equations for
Volume 66 Issue 6 June 2006 pp 961-969
It has been shown that the field equations for Charap’s chiral invariant model of the pion dynamics pass the Painlevé test for complete integrability in the sense of Weiss
Volume 66 Issue 6 June 2006 pp 971-983
Painlevé test (Jimbo
Volume 70 Issue 5 May 2008 pp 763-777 Research Articles
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 particular values of the parameters) have been reported. They represent interesting physical characteristics like waves with spreading solitary profile, spreading wave packets, waves with pulsating solitary profile (between zero and a maximum), waves with oscillatory solitary profile and chaos.
Volume 93 | Issue 6
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