Homoclinic Bifurcation for Boussinesq Equation with Even Constraint

If the constraint boundary relates to a bifurcation parameter, a bifurcation is said to be parametrically constrained. Relying upon some substitution, a parametrically constrained bifurcation is transformed to an unconstrained bifurcation about new variables. A general form of transition sets of the parametrically constrained bifurcation is derived. The result indicates that only the constrained bifurcation set is influenced by parametric constraints, while other transition sets are the same as those of the corresponding nonparametrically constrained bifurcation. Taking parametrically constrained pitchfork bifurcation problems as examples, effects of parametric constraints on bifurcation classification are discussed.

show abstract

New exact solutions for (3+1)-dimensional Jimbo–Miwa equation

Singh

2015

Nonlinear Dyn

View full text Add to dashboard Cite

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.

Homoclinic Bifurcation for Boussinesq Equation with Even Constraint

Cited by 30 publications

References 5 publications

Rogue Wave for the Benjamin Ono Equation

Rogue Wave for the Benjamin Ono Equation

Classification of parametrically constrained bifurcations

New exact solutions for (3+1)-dimensional Jimbo–Miwa equation

Contact Info

Product

Resources

About