The symbolic computation with the ansatz function and the logarithmic transformation method are used to obtain a formula for certain exact solutions of the ( 3 + 1 ) \left(3+1) Zakharov–Kuznetsov (Z–K) equation. We use homoclinic breather, three waves method, and double exponential. There is a conflict of results with considerably known results, which indicates the solutions found in this study are new. By selecting appropriate parameter values, 3d representations are plotted to establish W-shaped, multi-peak, and kinky breathers solutions.

中文翻译：

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量子流体力学Zakharov–Kuznetsov模型的相互作用现象和多波解的研究

使用ansatz函数的符号计算和对数变换方法来获得（3 +1）\ left（3 + 1）Zakharov-Kuznetsov（Z-K）方程的某些精确解的公式。我们使用同宿呼吸器，三波方法和双指数。结果与已知结果之间存在冲突，这表明本研究中发现的解决方案是新的。通过选择适当的参数值，绘制3d表示形式以建立W形，多峰和扭结的通气解决方案。