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solutions of novel soliton molecules and their interactions of(2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli equation

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Chinese Physics B 2022年第7期31卷 77-83页

作者： Hong-Cai Ma Yi-Dan Gao Ai-Ping Deng Department of Applied Mathematics Donghua UniversityShanghai 201620China

The method of variable separation has always been regarded as a crucial method for solving nonlinear evolution *** this paper,we use a new form of variable separation to study novel soliton molecules and their interactions in(2+1)-dimensional potential Boiti–Leon-Manna–Pempinelli *** molecules,ring molecules,lump molecules,multi-instantaneous molecules,and their interactions are *** we draw corresponding images with maple software to study their dynamic behavior.

关键词： variable separation method Hirota bilinear method dromion solution (2+1)-dimensional potential Boiti–Leon–Manna–Pempinelli equation

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New Symmetry Reductions,dromions—Like and Compacton solutions for a 2D BS（m,n） Equations Hierarchy with Fully Nonlinear Dispersion

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Communications in Theoretical Physics 2002年第3期37卷 269-276页

作者： YANZhen－Ya DepartmentofAppliedMathematics DalianUniversityofTechnologtyDalian116024China

We have found two types of important exact solutions, compacton solutions, which are solitary waves with the property that after colliding with their own kind, they re-emerge with the same coherent shape very much as the solitons do during a completely elastic interaction, in the and even models, and dromion solutions (exponentially decaying solutions in all direction) in many and models. In this paper, symmetry reductions in are considered for the break soliton-type equation with fully nonlinear dispersion (called equation) , which is a generalized model of break soliton equation , by using the extended direct reduction method. As a result, six types of symmetry reductions are obtained. Starting from the reduction equations and some simple transformations, we obtain the solitary wave solutions of equations, compacton solutions of equations and the compacton-like solution of the potential form (called ) . In addition, we show that the variable admits dromion solutions rather than the field itself in equation.

关键词： BS(m, n) equations PBS(m, n) equation symmetry reduction solitary wave solution dromion solution compacton solution

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