A generalized dispersive water waves system: Conservation laws; symmetry reduction; travelling wave solutions; symbolic computation

Abstract

Symmetry analysis is applied to the generalized dispersive water waves system, which is seen in many areas of physics including fluid dynamics and particle physics. The construction of new exact solutions and similarity reductions. A multiplier technique is then used to derive conservation laws. The generalized dispersive water waves system’s solutions were also attained using the most basic techniques. An integrated generalized dispersive water wave system is constructed using the Lie group analysis technique. Solitary wave and travelling wave solutions are among the outcomes.