A class of nonlinear wave patterns for (2+1) dimensional coupled integrable Maccari’s system

Abstract

In this paper, with the aid of Truncated Painlev´e Approach, (2+1) dimensional Coupled Integrable Maccari’s System is investigated. The obtained result contains some arbitrary functions which can be properly selected to study the significance of the mathematical problem. Various kinds of localized solutions such as dromion triplet pairs, dromions, and rogue waves are derived from the obtained solution by means of appropriate arbitrary functions. Using suitable initial parameters, arbitrary functions are chosen to investigate the collisional behavior of the dromion triplet pairs in the two-dimensional plane. We graphically illustrated the nonlinear wave structures with the aid of 3D plots. It is worth noting that these localized nonlinear waves are unstable under various situations.

Plenteous stationary wave patterns for (2+1) dimensional fokas system

“…To the best of our knowledge, dromion triplet, multi-compacton and multi-rogue wave solutions have not been reported for the (2+1) dimensional Fokas system. Earlier, TPA has been utilized to solve the (2+1) dimensional AKNS equation [21], LSRI equations [22], NNV equation [23], Maccari equation [24,25] etc. This paper is organized as follows.…”

Non-collisional Behaviour of Novel Nonlinear Wave Patterns for (2+1) Dimensional Fokas System

“…Earlier, TPA has been utilized to solve the (2+1) dimensional AKNS equation [20], LSRI equations [21], NNV equation [22], Maccari equation [23,24] etc. This paper is organized as follows.…”