Novel Traveling Wave Solutions of Jaulent-Miodek Equations and Coupled Konno-Oono Systems and Their Dynamics

Authors : Raj Kumar, Krıpa Shankar Pandey, Avneesh Kumar, Anshu Kumar

Pages : 281-285

Doi:10.51537/chaos.1322939

View : 52 | Download : 85

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :This research article deals with analytical solutions to two problems. The first is the (1+1)-coupled Jaulent-Miodek system of equations, which is associated with the energy-dependent Schrödinger potential, whereas the second problem, the system of coupled Konno-Oono equations relates to complexity and chaos in electromagnetic fields. Similarity reductions via Lie-symmetry analysis is performed for the systems to derive their analytical solutions. Since Lie symmetry involves arbitrary constants in the infinitesimals, this opens up more possibilities for getting a rich variety of analytical solutions for both real-life problems. The analytical solutions are supplemented graphically to understand them in a better way. Traveling wave profiles are obtained eventually. Solution for CKOEs are different from the earlier research (Kumar and Kumar 2022a; Kumar et al. 2022) as far as the authors are aware.
Keywords : CKOEs, JMEs, Lie symmetry analysis, Traveling wave solutions, Chaos