RATH swMATH ID: 779 Software Authors: Z. Li, Y. Liu Description: RATH: a Maple package for finding travelling solitary wave solutions to nonlinear evolution equations. A Maple package RATH which outputs entirely automatically tanh-polynomial travelling solitary wave solutions of a given nonlinear evolution equation is presented. The effectiveness of RATH is demonstrated by applications to a variety of equations with physical interest as examples. Not only are previously known solutions recovered but in some cases new solutions and more general form of solutions are obtained. Homepage: http://cpc.cs.qub.ac.uk/summaries/ADQK_v1_0.html Programming Languages: Maple V R4. Operating Systems: Windows 98/2000. Dependencies: Maple Keywords: Nonlinear evolution equations; Solitary wave solutions; Symbolic computation; Computer algebra. Related Software: MACSYMA; ATFM; Maple; RAEEM; PDESpecialSolutions; DDESpecialSolutions; WKPtest; Epsilon; PDEtools; Rif; Mathematica; GiNaC; GiNaCDE; AEFM; DETools; HIROTA.MAX; SYMMGRP; CharSets; Bilinearization; CONSLAW Cited in: 89 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year A Maple package for finding exact solitary wave solutions of coupled nonlinear evolution equations. Zbl 1196.37004Liu, Yin-Ping; Li, Zhi-Bin 2003 RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations. Zbl 1196.35008Li, Zhi-Bin; Liu, Yin-Ping 2002 all top 5 Cited by 124 Authors 14 Zhang, Hongqing 8 Li, Zhibin 5 Abdusalam, H. A. 5 Liu, Yinping 5 Xu, Guiqiong 4 Fahmy, E. S. 4 Huang, Dingjiang 4 Li, Xiangzheng 4 Wang, Mingliang 4 Yomba, Emmanuel 3 Chen, Huaitang 3 Song, Lina 2 Baldwin, Douglas E. 2 Feng, Yang 2 Feng, Zhaosheng 2 Fu, Jingzhi 2 Göktaş, Ünal 2 Gupta, Rajesh Kumar 2 Hereman, Willy A. 2 Li, Desheng 2 Ma, Wen-Xiu 2 Raslan, Kamal Raslan 2 Wang, Jing 2 Wazwaz, Abdul-Majid Abdul-Rahman 2 Zhang, Huiqun 2 Zhang, Jinliang 2 Zhi, Hongyan 2 Zhou, Zhenjiang 1 Akila, N. 1 Alabdullatif, M. 1 Arafa, Anas. A. M. 1 Bajunaid, Ibtesam O. 1 Biswas, Anjan 1 Chen, Shengli 1 Chen, Yong 1 Dé Godefroy, Akmel 1 Dkengne Sielenou, Pascal Alain 1 Dong, Huanhe 1 Ebaid, Abdelhalim 1 El-Ganaini, Shoukry Ibrahim Atia 1 El-labany, S. K. 1 Elboree, Mohammed K. 1 Elmahdy, Ghada 1 Elwakil, S. A. 1 Fan, Engui 1 Farahrooz, Foroozan 1 Gao, Liang 1 Gao, Xianwen 1 Ge, Dongjie 1 Ge, JuHong 1 Gopi, D. 1 Hamedi-Nezhad, S. 1 Hao, Xiazhi 1 Hon, Yiu-Chung 1 Hou, Jingchen 1 Hounkonnou, Mahouton Norbert 1 Hua, Cuncai 1 Jeffrey, David J. 1 Kavitha, Louis 1 Khani, Farzad 1 Konar, Swapan 1 Kudryashov, Nikolaĭ Alekseevich 1 Kuzmanovska-Barandovska, O. 1 Lee, Jyhhao 1 Li, Bao 1 Li, Biao 1 Li, Chao 1 Li, Erqiang 1 Li, Hongzhe 1 Li, Lili 1 Li, Wenting 1 Li, Zitian 1 Liang, Songxin 1 Liu, Chengshi 1 Liu, Chunping 1 Liu, Jun 1 Liu, Xiaoping 1 Liu, Xijun 1 Ma, Hongcai 1 Ma, Zhengyi 1 Martino, R. S. 1 Mehanna, Mona S. 1 Mesloub, Said 1 Mirzazadeh, Mohammad 1 Molabahrami, Ahmad 1 Nuseir, Ameina S. 1 Qin, Hongde 1 Sabry, Refaat 1 Satarić, Miljko V. 1 Sekulić, Dalibor L. 1 Shi, Ruizhi 1 Song, Chenwei 1 Taghizadeh, Nasir 1 Tang, Jiashi 1 Tang, Xiaoyan 1 Tian, Bo 1 Wang, Dan 1 Wang, Qi 1 Wang, Zhen 1 Wei, Xiaoli ...and 24 more Authors all top 5 Cited in 34 Serials 14 Applied Mathematics and Computation 12 Chaos, Solitons and Fractals 9 Physics Letters. A 8 Communications in Theoretical Physics 7 Computer Physics Communications 5 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 International Journal of Computer Mathematics 2 International Journal of Engineering Science 2 Abstract and Applied Analysis 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Taiwanese Journal of Mathematics 1 Far East Journal of Applied Mathematics 1 International Journal of Modern Physics C 1 Progress of Theoretical Physics 1 International Journal of Computational Methods 1 Journal of Shanghai Jiaotong University (Science) 1 Applications and Applied Mathematics 1 International Journal of Contemporary Mathematical Sciences 1 Applied Mathematical Sciences (Ruse) 1 International Journal of Differential Equations 1 Advances and Applications in Mathematical Sciences all top 5 Cited in 13 Fields 84 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Numerical analysis (65-XX) 11 Computer science (68-XX) 7 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year