The present paper applies the new generalized(G/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation,(3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation,and(3+...The present paper applies the new generalized(G/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation,(3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation,and(3+1)-dimensional Jimbo-Miwa equations and obtains some new exact traveling wave solutions.The solutions are checked by putting back into the physical model and are observed to be very advantageous over several existing methods.The newly method could also be utilized to find exact traveling wave solutions for the other nonlinear evolution equations in the field of applied nonlinear sciences.展开更多
This treatise analyzes the coupled nonlinear system of the model for the ion sound and Langmuir waves.The modified(G'/G)-expansion procedure is utilized to raise new closed-form wave solutions.Those solutions are ...This treatise analyzes the coupled nonlinear system of the model for the ion sound and Langmuir waves.The modified(G'/G)-expansion procedure is utilized to raise new closed-form wave solutions.Those solutions are investigated through hyperbolic,trigonometric and rational function.The graphical design makes the dynamics of the equations noticeable.It provides the mathematical foundation in diverse sectors of underwater acoustics,electromagnetic wave propagation,design of specific optoelectronic devices and physics quantum mechanics.Herein,we concluded that the studied approach is advanced,meaningful and significant in implementing many solutions of several nonlinear partial differential equations occurring in applied sciences.展开更多
基金The authors would like to acknowledge CAS-TWAS presi-dent’s fellowship program,the NSF of China(No.61872328),NKBRPC(2011CB302400),SRF for ROCS SE,and the Youth Innovation Promotion Association CAS.
文摘The present paper applies the new generalized(G/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation,(3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation,and(3+1)-dimensional Jimbo-Miwa equations and obtains some new exact traveling wave solutions.The solutions are checked by putting back into the physical model and are observed to be very advantageous over several existing methods.The newly method could also be utilized to find exact traveling wave solutions for the other nonlinear evolution equations in the field of applied nonlinear sciences.
文摘This treatise analyzes the coupled nonlinear system of the model for the ion sound and Langmuir waves.The modified(G'/G)-expansion procedure is utilized to raise new closed-form wave solutions.Those solutions are investigated through hyperbolic,trigonometric and rational function.The graphical design makes the dynamics of the equations noticeable.It provides the mathematical foundation in diverse sectors of underwater acoustics,electromagnetic wave propagation,design of specific optoelectronic devices and physics quantum mechanics.Herein,we concluded that the studied approach is advanced,meaningful and significant in implementing many solutions of several nonlinear partial differential equations occurring in applied sciences.
