The Soliton Wave Solutions and Bifurcations of the (2 + 1)-Dimensional Dissipative Long Wave Equation

The main objective of this paper is to study bifurcations and solitons for a generalized fourth-order dispersive nonlinear Schrödinger equation in a Heisenberg spin chain via the theory of differential dynamical systems. By introducing the complex traveling wave transformation, we obtain the singular traveling wave system and the Hamiltonian function. By applying the classical analysis method, we investigate the bifurcations thoroughly and obtain the phase portraits of the bifurcations in four cases. Based on the phase portraits, we obtain a large number of analytic parametric representations for bounded solitons, including periodic wave solutions, solitary wave solutions, kink (anti-kink) wave solutions, compacton solutions, and a special class of bounded soliton solutions, corresponding to stable and unstable manifolds of the saddle point. These analytic parametric representations enhance the understanding of dynamic properties and characteristics of soliton solutions.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

The Soliton Wave Solutions and Bifurcations of the (2 + 1)-Dimensional Dissipative Long Wave Equation

Cited by 4 publications

References 17 publications

New solitons and bifurcations for the generalized Gerdjikov–Ivanov equation in nonlinear fiber optics

New solitons and bifurcations for the generalized Gerdjikov–Ivanov equation in nonlinear fiber optics

Bifurcation analysis, chaotic structures and wave propagation for nonlinear system arising in oceanography

Classification and Soliton for a Generalized Fourth-Order Dispersive Nonlinear Schrödinger Equation in a Heisenberg Spin Chain

Contact Info

Product

Resources

About