Abstract
In this paper, we will obtain the exact N-soliton solution of the coupled long-wave–short-wave system via the developed Hirota bilinear method. Through manipulating the relevant parameters, we will construct different types of solutions which include breather-like solutions and dark-soliton-breather-like solutions. Moreover, we will demonstrate that the interactions of two-soliton and two-breather-like solutions are all elastic through asymptotic analysis method. Finally, we will display the interactions through illustrations.
Highlights
It is well-known that Davey-Stewartson system is a classical (2+1) dimensional model that describes weak non- iAt + 1 ω00 2 (k) Azz cg 2k Ayy = γ1 |A|2 A γ2 AΦz,(1.1a) gh c2g Φzz + ghΦyy =
We have demonstrated that the interactions of two-soliton and two-breather-like solutions are all elastic through asymptotic analysis method
Data availability solutions for the inhomogeneous reduced Maxwell-Bloch system in nonlinear optics with symbolic computation
Summary
It is well-known that Davey-Stewartson system is a classical (2+1) dimensional model that describes weak non-. The scalar longwave-short-wave resonance equations can be given as follows iAt + λAzz = BA, Bt = α ⇣|A|2⌘ , z (1.3a) (1.3b) where B denotes the amplitude of long longitudinal wave, A denotes the complex amplitude of the short transverse wave, t and z are time and space coordinates respectively [9, 10]. A general theory that reveals various phenomena related to physical properties such as resonances, instabilities and steady state solutions in interactions between short waves and long waves has been analyzed [11]. We consider the coupled long-wave-short-wave system which generalizes the scalar long-wave-short-wave resonance equations
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