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By using the complete discrimination system for the polynomial method, the classification of single traveling wave solutions to the generalized Kadomtsev-Petviashvili equation without dissipation terms in p=2 is obtained.

advances in pure mathematics

Classification of Single Traveling Wave Solutions to the Generalized Kadomtsev-Petviashvili Equation without Dissipation Terms in &amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt; = 2