Exact solutions of nonlinear differential equations with new fourth-order terms
A nonlinear PDE combining with a new fourth-order term D2xD2T was studied.Adding three new fourth-order derivative terms and some second-order derivative terms,it increased difficulty in solving.This paper formulated a combined fourth-order nonlinear partial differential equation,which possesses a Hirota's bilinear form.The class of lump solutions were constructed explicitly through the Hirota's bilinear method.The dynamical behaviors were analyzed through plots.
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