TY - JOUR
T1 - Periodic and localized solutions of the long wave-short wave resonance interaction equation
AU - Radha, R.
AU - Kumar, C. Senthil
AU - Lakshmanan, M.
AU - Tang, X. Y.
AU - Lou, S. Y.
PY - 2005/11/4
Y1 - 2005/11/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/27144468962
U2 - 10.1088/0305-4470/38/44/003
DO - 10.1088/0305-4470/38/44/003
M3 - 文章
AN - SCOPUS:27144468962
SN - 0305-4470
VL - 38
SP - 9649
EP - 9663
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 44
ER -