A spherical Kadomtsev-Petviashvili （SKP） equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter （ε） Lie group of infinitesimal t...A spherical Kadomtsev-Petviashvili （SKP） equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter （ε） Lie group of infinitesimal transformations and Clarkson-Kruskal direct method, The SKP equation is also solved with a generalized tanh function method.展开更多
In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method.
基金The project supported by the Tian Yuan Fund for Mathematics under Grand No 10426007, the Key Project of the Ministry of Education under Grant No. 106033, and National Science Foundation of China under.Grants Nos, 60372095 and 10272017. YTG would like to acknowledge the Cheung Kong Scholars Programme of the Ministry of Educ＇atlon of China and Li Ka Shing Foundation of Hong Kong
文摘A spherical Kadomtsev-Petviashvili （SKP） equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter （ε） Lie group of infinitesimal transformations and Clarkson-Kruskal direct method, The SKP equation is also solved with a generalized tanh function method.
基金国家重点基础研究发展计划(973计划)，the National Natural Science Foundation of China under
文摘In this paper, the Wick-type stochastic mKdV equation is researched. Many Wick-type stochastic solitonlike solutions are given via Hermite transformation and further generalized projective Riccati equation method.
