2005/10/19 by R Radha, R. Radha, C Senthil Kumar +7 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #nlin.SI
paper · pdf · doi:10.1088/0305-4470/38/44/003
published as J. Phys. A: Math. Gen. 38 (2005) 9649-9663 · 13 pages, 6 figures
openalex publication_date 2005/10/19 · arxiv created 2006/04/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03
In this paper, we investigate the (2+1)-dimensional long wave–short wave resonance interaction (LSRI) equation and show that it possess the Painlevé property. We then solve the LSRI equation using Painlevé truncation approach through which we are able to construct solution in terms of three arbitrary functions. Utilizing the arbitrary functions present in the solution, we have generated a wide class of elliptic function periodic wave solutions and exponentially localized solutions, such as dromions, multidromions, instantons, multi-instantons and bounded solitary wave solutions.