The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques.The adopted methods are generalized Kudryashov method(GKM),exponential ration...The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques.The adopted methods are generalized Kudryashov method(GKM),exponential rational function method(ERFM),and modified extended tanh-function method(METFM).Some plots of some presented new solutions are represented to exhibit wave characteristics.All results in this work are essential to understand the physical meaning and behavior of the investigated equation that sheds light on the importance of investigating various nonlinear wave phenomena in ocean engineering and physics.This equation provides new insights to understand the relationship between the integrability and water waves’phenomena.展开更多
A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Sats...A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional derivative.Our solutions were obtained using MAPLE software.This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering.Since a standard equation has not been used as an auxiliary equation for this technique,different and novel solutions are obtained via this technique.展开更多
文摘The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques.The adopted methods are generalized Kudryashov method(GKM),exponential rational function method(ERFM),and modified extended tanh-function method(METFM).Some plots of some presented new solutions are represented to exhibit wave characteristics.All results in this work are essential to understand the physical meaning and behavior of the investigated equation that sheds light on the importance of investigating various nonlinear wave phenomena in ocean engineering and physics.This equation provides new insights to understand the relationship between the integrability and water waves’phenomena.
文摘A novel technique,named auxiliary equation method,is applied in this research work for obtaining new traveling wave solutions for two interesting proposed systems:the Kaup-Boussinesq system and generalized Hirota-Satsuma coupled KdV system with beta time fractional derivative.Our solutions were obtained using MAPLE software.This technique shows a great potential to be applied in solving various nonlinear fractional differential equations arising from mathematical physics and ocean engineering.Since a standard equation has not been used as an auxiliary equation for this technique,different and novel solutions are obtained via this technique.
