Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗

الملخص EN

A nonlinear PDE combining with a new fourth-order term Dx2Dt2 is studied.

Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota’s bilinear form.

The class of lump solutions is constructed explicitly through Hirota’s bilinear method.

Their dynamical behaviors are analyzed through plots.