Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

WOS: 000308488500001We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method. In discussion, we propose a more general trial equation method for nonlinear partial differential equations with generalized evolution.Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Yozgat University FoundationBozok UniversityThe research has been supported by the Scientific and Technological Research Council of Turkey (TUBITAK) and Yozgat University Foundation