Abstract

In this Paper, we analyse the singularity structure aspects of the (2 + 1) dimensional generalized Sasa-Satsuma (GSS) equation and confirm its integrability. Using the results of the Painlevé analysis, we unearth a new class of localized coherent structures of the (2 + 1) dimensional GSS equation and study their interactions. The new class of solutions includes multiple conoidal periodic waves driven by doubly periodic Jacobian elliptic functions and multiple dromions. We have also explored the concept of fission and fusion of dromions in detail.

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