Purpose This manuscript is related to compute N-kink soliton solutions for conformable
Fisher–Kolmogorov equation (CFKE) by using the generalized extended direct algebraic …

If a partial differential equation is reduced to an ordinary differential equation in the form
u′(ξ)= G (u, θ1,…, θm) under the traveling wave transformation, where θ1,…, θm are …

In this paper, the variable-coefficient (1+ 1)-dimensional Benjamin-Bona-Mahony (BBM) and
(2+ 1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equations are investigated …

In this article, the exp (− Φ (ξ))-expansion method has been successfully implemented to
seek traveling wave solutions of the coupled Higgs field equation and the Maccari system …

By employing the parameter limit method and symbolic computation, we investigate a new
lump solution of (2+ 1)-dimensional Korteweg–de Vries (KdV) system from the double …

Abstract The (2+ 1)-dimensional Korteweg–de Vries (KdV) equation is studied by distinct
methods. The parameter limit method is used to derive multi-breathers solutions and lump …

The q-homotopy analysis transform method (q-HATM) is employed to find the solution for the
fractional Kolmogorov–Petrovskii–Piskunov (FKPP) equation in the present frame work. To …

In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov
equation and nonlinear telegraph equation by using the first integral method. This method is …

To find exact traveling wave solutions to nonlinear evolution equations, we propose a
method combining symmetry properties with trial polynomial solution to nonlinear ordinary …

The time-fractional nonlinear Schrödinger equation with parabolic law nonlinearity is
studied. Under the travelling wave transformations, Schrödinger equation is reduced to …