摘要
借助变量之间的变换,将3+1维广义Kadomtsev-Petviashvili方程化成双线性形式.利用多维Riemann-theta函数和双线性形式相结合的方法,获得所得方程的单Riemann-theta函数解和双Riemann-theta函数解.更进一步,对所有得的解进行渐近性讨论.另一方面,利用Hirota方法求出该方程的单奇异解和二奇异解,并借助数学软件画出解得图像.
A 3+1-dimensional generalized Kadomtsev-Petviashvili equation can be written into a Hirota bilinear form by the dependent variable transformation.With the aid of its bilinear form,we give its one-periodic wave solution and two-periodic wave solution by utilizing multi-dimensional Riemann theta-function.Furthermore,the asymptotic properties of the periodic wave solutions are analyzed in detail.One singular solution and two singular solution are derived and the graphs of the solutions are drawn respectively by using Matlab soft.
作者
苏婷
SU Ting(College of Science,Henan University of Engineering,Zhengzhou 451191,China)
出处
《数学的实践与认识》
2022年第3期175-182,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11301149)
河南省高等学校青年骨干教师培养计划项目(2020GGJS237)
河南工程学院科研培育基金(PYXM202016,202103)。
