Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients

Summary A Cauchy problem for forced Burgers equation (FBE) with time-dependent coefficients is studied in this work. We find explicit solutions of the FBE in terms of Hermite polynomials subject to various classes of initial data. Further, we prove the existence of solutions of FBE with respect to the bounded, continuous and summable initial data. We then derive an approximate solution to the Cauchy problem and find the error estimations between the true and approximate solutions. We give asymptotic profiles of the solutions depending on the initial data.

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.

Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients

Cited by 5 publications

References 38 publications

An efficient technique of G′G–expansion method for modified KdV and Burgers equations with variable coefficients

An efficient technique of G′G–expansion method for modified KdV and Burgers equations with variable coefficients

Further results about the non-traveling wave exact solutions of nonlinear Burgers equation with variable coefficients

On solutions to the Cauchy problem for a class of forced Burgers equations

Contact Info

Product

Resources

About