中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110206-110206.doi: 10.1088/1674-1056/acf11c
Xi-Zhong Liu(刘希忠), Jie-Tong Li(李界通), and Jun Yu(俞军)†
Xi-Zhong Liu(刘希忠), Jie-Tong Li(李界通), and Jun Yu(俞军)†
摘要: Two (3+1)-dimensional shallow water wave equations are studied by using residual symmetry and the consistent Riccati expansion (CRE) method. Through localization of residual symmetries, symmetry reduction solutions of the two equations are obtained. The CRE method is applied to the two equations to obtain new Bäcklund transformations from which a type of interesting interaction solution between solitons and periodic waves is generated.
中图分类号: (Partial differential equations)