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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. Keywords: Generalized (G′G)-expansion method, Fifth-order Korteweg-de Vries equation, (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation, (3+1)-dimensional Jimbo-Miwa equation, Traveling wave solutions