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<p>Based on the Bell polynomial method, the (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(3+1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>3</mn> <mo>+</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>)-dimensional BKP-Boussinesq equation is first transformed into a bilinear form. Then, the Lax integrability and the nonlinear superposition formula of solutions for this equation are derived. Secondly, using the trial-function method and the symbolic computation system Mathematica, several new exact solutions of this equation are obtained. Finally, by choosing suitable parameters, three-dimensional graphs and contour plots of the exact solutions are generated to analyze their properties and characteristics.</p>

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Research on the Lax integrability of the (3 + 1)-dimensional BKP-Boussinesq equation

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Yingjun Bao,
  • Taogetusang Bao

摘要

Based on the Bell polynomial method, the ( \(3+1\) 3 + 1 )-dimensional BKP-Boussinesq equation is first transformed into a bilinear form. Then, the Lax integrability and the nonlinear superposition formula of solutions for this equation are derived. Secondly, using the trial-function method and the symbolic computation system Mathematica, several new exact solutions of this equation are obtained. Finally, by choosing suitable parameters, three-dimensional graphs and contour plots of the exact solutions are generated to analyze their properties and characteristics.