Bright and dark solitons in optical materials with polynomial law nonlinearity

Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science

H. ELHADEDY¹ 

关键词: soliton solutions;    bright solitons;    dark solitons;    nonlinear optical materials;    Lie symmetry;    method;    Jacobi elliptic functions.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Editura Academiei Romane

【 摘 要 】

We find families of analytical solutions for a recently proposed nonlinear partialdifferential equation describing pulse propagation in optical materials with polynomial lawnonlinearity. By employing the Lie symmetry method, new explicit bright and dark soliton solutionsare given. Furthermore, new doubly periodic solutions in terms of Jacobi elliptic functions are alsoobtained. The reported solutions have the advantage of being expressed in explicit forms in contrastwith other works where they are presented in implicit forms.

【 授权许可】

Unknown