The residual symmetry,Bäcklund transformations,CRE integrability and interaction solutions:(2+1)-dimensional Chaffee–Infante equation  

作　　者：Nursena Günhan Ay Emrullah Yaşar 

机构地区：[1] Department of Mathematics,Faculty of Engineering and Natural Sciences,İstanbul Medeniyet University,34700Üsküdar,Istanbul,Turkey [2] Department of Mathematics,Faculty of Arts and Sciences,Uludag University,16059 Bursa,Turkey

出　　处：《Communications in Theoretical Physics》2023年第11期30-37,共8页理论物理通讯（英文版）

摘　　要：In this paper,we consider the(2+1)-dimensional Chaffee-Infante equation,which occurs in the fields of fluid dynamics,high-energy physics,electronic science etc.We build Bäcklund transformations and residual symmetries in nonlocal structure using the Painlevétruncated expansion approach.We use a prolonged system to localize these symmetries and establish the associated one-parameter Lie transformation group.In this transformation group,we deliver new exact solution profiles via the combination of various simple(seed and tangent hyperbolic form)exact solution structures.In this manner,we acquire an infinite amount of exact solution forms methodically.Furthermore,we demonstrate that the model may be integrated in terms of consistent Riccati expansion.Using the Maple symbolic program,we derive the exact solution forms of solitary-wave and soliton-cnoidal interaction.Through 3D and 2D illustrations,we observe the dynamic analysis of the acquired solution forms.

关 键 词：(2+1)-dimensional Chaffee-Infante equation Painlevétruncated exapansion approach dynamic analysis Bäcklund transformations residual symmetries 

分 类 号：O411.1[理学—理论物理]