Abstract
Various closed-form heteroclinic breather solutions including classical heteroclinic, heteroclinic breather and Akhmediev breathers solutions for coupled Schrödinger-Boussinesq equation are obtained using two-soliton and homoclinic test methods, respectively. Moreover, various heteroclinic structures of waves are investigated.
Highlights
The existence of the homoclinic and heteroclinic orbits is very important for investigating the spatiotemporal chaotic behavior of the nonlinear evolution equations (NEEs)
Exact homoclinic and heterclinic solutions were proposed for some NEEs like nonlinear Schrodinger equation, Sine-Gordon equation, Davey-Stewartson equation, Zakharov equation, and Boussinesq equation [1,2,3,4,5,6,7]
[9], and N-soliton solution, homoclinic orbit solution, and rogue solution were obtained by Hu et al [10], Dai et al [11,12,13], and Mu and Qin [14]
Summary
The existence of the homoclinic and heteroclinic orbits is very important for investigating the spatiotemporal chaotic behavior of the nonlinear evolution equations (NEEs). Exact homoclinic and heterclinic solutions were proposed for some NEEs like nonlinear Schrodinger equation, Sine-Gordon equation, Davey-Stewartson equation, Zakharov equation, and Boussinesq equation [1,2,3,4,5,6,7]. The coupled Schrodinger-Boussinesq equation is considered as iEt + Exx + β1E − NE = 0,. Equation (1) has appeared in [8] as a special case of general systems governing the stationary propagation of coupled nonlinear upperhybrid and magnetosonic waves in magnetized plasma. [9], and N-soliton solution, homoclinic orbit solution, and rogue solution were obtained by Hu et al [10], Dai et al [11,12,13], and Mu and Qin [14]
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