Abstract
This paper aims to study a ( $$3+1$$ )-dimensional novel KP-like equation, which arises in the analysis of versions of resonant phenomena. The classical symmetry approach will be employed to search for exact solutions. Thereafter, we will search for the admitted conserved vectors of the mentioned novel KP-like equation. Although Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580 , 2020) have given a recommendable effort to solve a new ( $$3+1$$ )-dimensional novel KP-like equation, there is no unified method. The method employed in Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580 , 2020), cannot be used to construct conservation laws or point symmetries and hence this prompted the utilization of the classical symmetry approach for the underlying equation.
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More From: Iranian Journal of Science and Technology, Transactions A: Science
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