In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct integration. Moreover, Kudryashov’s method is utilized to generate some closed-form solutions of the equation. Furthermore, cnoidal and snoidal periodic wave solutions are displayed for a special case of the gKdV-ZKe. The obtained solutions are presented graphically. Conclusively, we provide conservation laws of gKdV-ZKe by engaging Noether’s theorem.
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Khalique et al. (2020) studied this question.
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