• Pradip Kumar

      Articles written in Proceedings – Mathematical Sciences

    • One-Parameter Family of Solitons from Minimal Surfaces

      Rukmini Dey Pradip Kumar

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      In this paper, we discuss a one parameter family of complex Born–Infeld solitons arising from a one parameter family of minimal surfaces. The process enables us to generate a new solution of the B–I equation from a given complex solution of a special type (which are abundant). We illustrate this with many examples. We find that the action or the energy of this family of solitons remains invariant in this family and find that the well-known Lorentz symmetry of the B–I equations is responsible for it.

    • Swallowtails and cone-like singularities on a maxface


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      When a connected component of the set of singular points of the maxface $X$ consists of only generalized cone-like singular point, we construct a sequence ofmaxfaces $X_n$, with an increasing number of swallowtails, converging to the maxface $X$. We include the general discussion toward this.

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