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<p>In this study, we investigate a variety of exact soliton solutions of general (2 + 1)-dimensional Bogoyavlensky-Konopelchenko equation via the exp(−Φ(<i>η</i>))-expansion method and modified Kudryashov method. The exact solutions are characterized in the form of hyperbolic, trigonometric and rational function solutions using exp(−Φ(<i>η</i>))-expansion method, whereas the solution in the form of hyperbolic function expression is obtained by the modified Kudryashov method. These exact solutions also include kink, bright, dark, singular and periodic soliton solutions. The graphical interpretation of the exact solutions is addressed for specific choices of the parameters appearing in the solutions.</p>

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New soliton solutions of (2+1)-dimensional Bogoyavlensky-Konopelchenko equation via two integration techniques

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Khalida Faisal,
  • Khadija Maqbool

摘要

In this study, we investigate a variety of exact soliton solutions of general (2 + 1)-dimensional Bogoyavlensky-Konopelchenko equation via the exp(−Φ(η))-expansion method and modified Kudryashov method. The exact solutions are characterized in the form of hyperbolic, trigonometric and rational function solutions using exp(−Φ(η))-expansion method, whereas the solution in the form of hyperbolic function expression is obtained by the modified Kudryashov method. These exact solutions also include kink, bright, dark, singular and periodic soliton solutions. The graphical interpretation of the exact solutions is addressed for specific choices of the parameters appearing in the solutions.