a Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; b Department of Mathematics, Qufu Normal University, Qufu 273165, China
Abstract Based on the study of tanh function method and the coupled projective Riccati equation method, we propose a new algorithm to search for explicit exact solutions of nonlinear evolution equations. We use the higher-order Schr$\ddot{\rm o}$dinger equation and mKdV equation to illustrate this algorithm. As a result, more new solutions are obtained, which include new solitary solutions, periodic solutions, and singular solutions.Some new solutions are illustrated in figures.
Received: 30 December 2004
Revised: 21 March 2005
Accepted manuscript online:
Zhi Hong-Yan (智红燕), Zhao Xue-Qin (赵雪芹), Zhang Hong-Qing (张鸿庆) New expansion algorithm of three Riccati equations and its applications in nonlinear mathematical physics equations 2005 Chinese Physics 14 1296
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
