Interaction behaviors between solitons for the (2+1)-dimensional long wave short wave interaction model

Multiple soliton solutions and fusion interaction phenomena for the (2+1)-dimensional modified dispersive water-wave system

“…Recently, some localized structures like dromions, compactons, peakons and ring structure have attracted much attention in the field of nonlinear mathematical physics, these structures are all exact solutions with different properties of NPDEs [18][19][20][21][22][23][24][25][26][27]. Localized solutions might be helpful to the propagation processes for nonlinear waves in (2 + 1)-dimensional NPDEs.…”

“…Although the interactions among some localized structures have been reported[18][19][20][21][22][23][24][25][26][27], to the best of our knowledge, these fusion interaction phenomena are firstly reported for System (1). InFig.…”

Interactions of dromion-like structures in the(1+1)dimension variable coefficient nonlinear Schrödinger equation

“…Based on a modified Riccati equation method, dromion interactions have been studied for the asymmetric Nizhnik-Novikov-Veselov (NNV) system [9,10]. Besides, interaction behaviors between dromions have been discussed [11,12]. For the (2 + 1)-dimensional NNV equation and modified Korteweg-de Vries (KdV) equation, dromion interactions have been investigated both analytical and numerical [15].…”

“…As a special type of solutions, dromions generally decay exponentially in all spatial directions, and have triggered renewed interest with suggestions for the applications in nonlinear optics and plasma physics [5,6]. Recently, dromion interactions are attractive and active, and supply ample applications [7][8][9][10][11][12][13].…”

Applications of He's semi-inverse variational method and ITEM to the nonlinear long-short wave interaction system

“…Describes of the nonlinear resonance interaction of multiple short waves with a long wave in two spatial dimension by considering a general multi-component (2 + 1)dimensional long-wave-shortwave resonance interaction system with arbitrary nonlinearity coefficients have been investigated by Sakkaravarthi et al (2014) by applying the Hirota (1985) bilinearization method. The entangled mapping approach based on the general reduction theory was investigated by Dai and Liu (2012), in which they have derived new type of variable separation solution for the (2 + 1)-dimensional long wave short wave interaction model. By utilizing the first integral method obtained one-soliton solutions and also by help aforesaid method is used to construct exact solutions of the nonlinear long-short wave resonance equations (Jafari et al, 2015).…”