An efficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma

作     者：Amit Goswami Jagdev Singh Devendra Kumar Sumit Gupta Sushila 

作者机构：Department of PhysicsJagan Nath UniversityJaipur 303901RajasthanIndia Department of MathematicsJECRC UniversityJaipur 303905RajasthanIndia Department of MathematicsUniversity of RajasthanJaipur 302004RajasthanIndia Department of MathematicsSwami Keshvanand Institute of TechnologyManagement and GramothanRamnagariaJaipur 302017RajasthanIndia Department of PhysicsVivekananda Global UniversityJaipur 303012RajasthanIndia 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2019年第4卷第2期

页      面：85-99页

核心收录：

学科分类：0710[理学-生物学] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 07[理学] 0908[农学-水产] 0707[理学-海洋科学] 0815[工学-水利工程] 0824[工学-船舶与海洋工程] 0701[理学-数学] 

主　　题：Sumudu transform scheme Homotopy perturbation technique RLW equations Ion acoustic wave Shallow water waves in oceans. 

摘      要：In this work,we apply an efficient analytical algorithm namely homotopy perturbation Sumudu transform method(HPSTM)to find the exact and approximate solutions of linear and nonlinear time-fractional regularized long wave(RLW)equations.The RLW equations describe the nature of ion acoustic waves in plasma and shallow water waves in oceans.The derived results are very significant and imperative for explaining various physical phenomenons.The suggested method basically demonstrates how two efficient techniques,the Sumudu transform scheme and the homotopy perturbation technique can be integrated and applied to find exact and approximate solutions of linear and nonlinear time-fractional RLW equations.The nonlinear expressions can be simply managed by application of He’s polynomials.The result shows that the HPSTM is very powerful,efficient,and simple and it eliminates the round-off errors.It has been observed that the proposed technique can be widely employed to examine other real world problems.