Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of ...Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKd V equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+ 1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.展开更多
In this paper, we establish exact solutions for the .R（m,n） equations by using an sn-cn metnou,As a result, abundant new cornpactons, i,e, solitons with the absence of infinite wings, new type of Jacobi elliptic fun...In this paper, we establish exact solutions for the .R（m,n） equations by using an sn-cn metnou,As a result, abundant new cornpactons, i,e, solitons with the absence of infinite wings, new type of Jacobi elliptic function, solitary wave and periodic wave solutions, of this equation are obtained with minimal calculations. The properties of the R（m, n） equations are shown in figures.展开更多
基金浙江省自然科学基金，中国博士后科学基金，中国科学院资助项目，教育部留学回国人员科研启动基金，Scientific Research Foundation for Returned Overseas Chinese Scholars of Ministry of Education of China
文摘Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of (2+1)-dimensional generalization of mKd V equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this (2+ 1)-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.
文摘In this paper, we establish exact solutions for the .R（m,n） equations by using an sn-cn metnou,As a result, abundant new cornpactons, i,e, solitons with the absence of infinite wings, new type of Jacobi elliptic function, solitary wave and periodic wave solutions, of this equation are obtained with minimal calculations. The properties of the R（m, n） equations are shown in figures.
