Wave solutions to the Landau-Ginzburg-Higgs equation and the modified KdV-Zakharov-Kuznetsov equation by the Riccati-Bernoulli sub-ODE method
Keywords:
Riccati-Bernoulli sub-ODE method, partial differential equations, (1 1)-dimensional Landau-Ginzburg-Higgs, (3 1)-dimensional modified KdV-Zakharov-Kuznetsov equationAbstract
In this paper, exact traveling wave solutions of the (1+1)-dimensional Landau-Ginzburg-Higgs equation and the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation, which are the partial differential equations for ion wave equations, are extracted using the Riccati-Bernoulli sub-ODE method. The obtained solutions are shown by hyperbolic and trigonometric functions, which can be transformed into kink waves and periodic waves in their physical nature.
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