PDEBellII swMATH ID: 12572 Software Authors: Miao, Q., Wang, Y.H., Chen, Y., Yang, Y.Q. Description: PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. Based on the Bell polynomials scheme, this paper presents a Maple computer algebra program PDEBellII which can automatically construct the bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type soliton equations. Some examples are given to verify the validity of our program. Homepage: http://www.cpc.cs.qub.ac.uk/summaries/AEQP_v1_0.html Dependencies: Maple Related Software: Maple; GeM; HIROTA.MAX; MACSYMA Cited in: 12 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. Zbl 1344.37003Miao, Qian; Wang, Yunhu; Chen, Yong; Yang, Yunqing 2014 all top 5 Cited by 26 Authors 6 Tian, Shoufu 5 Zhang, Tiantian 3 Wang, Xiubin 2 Feng, Lianli 2 Tu, Jian-Min 2 Wang, Yunhu 2 Xu, Meijuan 2 Yaşar, Emrullah 2 Yıldırım, Yakup 1 Adem, Abdullahi Rashid 1 Chen, Yong 1 Gao, Yitian 1 Gupta, Rajesh Kumar 1 Li, He 1 Liu, Li-Cai 1 Ma, Pan-Li 1 Ma, Wen-Xiu 1 Miao, Qian 1 Qin, Chunyan 1 Singh, Manjit 1 Temuer, Chaolu 1 Wang, Hui 1 Xua, Mei-Juan 1 Yan, Hui 1 Yang, Yunqing 1 Zou, Li all top 5 Cited in 9 Serials 4 Nonlinear Dynamics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Applied Mathematics and Computation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Communications in Theoretical Physics 1 Advances in Applied Mathematics and Mechanics all top 5 Cited in 8 Fields 11 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Fluid mechanics (76-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year