The sn- and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear evolution equations are described in a form suitable for automation, where sn and cn are the elliptic Jacobi snoidal and cnoidal functions, respectively. Some new solutions are presented.
- Jacobi elliptic function
- nonlinear evolution equation
- periodic-wave solution
Parkes, E. J., Duffy, B. R., & Abbott, P. C. (2002). The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations. Physics Letters A, 295(5-6), 280-286. https://doi.org/10.1016/S0375-9601(02)00180-9