Bäcklund Transformation of (3+1)-Dimensional Variable Coefficient NLEE Equation and Related Problems
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CC-BY-4.0
Abstract
Based on Bell polynomial method,symbolic computation system Mathematica,P-polynomials,Bäcklund transformation of double Bell polynomials,bilinear Bäcklund transformation,infinite conservation laws and soliton solutions of (3+1)-dimensional nonlinear evolution equations (NLEE) with variable coefficients are studied.Firstly,the P-polynomial and bilinear forms of the equation are constructed.Secondly,the double Bell polynomial Bäcklund,bilinear Bäcklund transformation,Lax pair and infinite conservation laws are constructed.Finally,through the bilinear Bäcklund transformation of the equation,the soliton solutions and other solutions of the equation are obtained,and the appropriate parameters are selected to illustrate their properties by making graphs of some solutions.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00
- unpaywall
- last seen: 2026-05-22T02:00:06.705733+00:00
License: CC-BY-4.0