An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.
- auxiliary elliptic equation method
- solitary-wave solutions
- periodic-wave solutions
- 2) equation
Deng, X., Parkes, E. J., & Cao, J. (2010). Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch). Applied Mathematics and Computation, 217(4), 1566-1576. https://doi.org/10.1016/j.amc.2009.06.054