Abstract
A new integrable case of the one-dimensional nonlinear wave equation was found. A general solution for this case depending on two arbitrary functions was derived. The functional form of the speed of sound can be used to model weak nonlinear waves in non-dispersive media. For the initial value problem the nonlinear generalization of the d’Alembert’s formula was obtained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Partial Differential Equations in Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
