Abstract: In this article, we study the generalized quasilinear Schrödinger equation \begin{equation*} -\text{div}(\varepsilon^2g^2(u)\nabla u)+\varepsilon^2g(u)g'(u)|\nabla u|^2+V(x)u=K(x)|u|^{p-2}u,\,\, x\in\mathbb{R}^N, \end{equation*} where $N\geq3$, $\varepsilon>0$, $4 < p < 22^*$, $g\in\mathcal{C}^1(\mathbb{R},\mathbb{R}^{+})$, $V\in \mathcal{C}(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N)$ has a positive global minimum, and $K\in \mathcal{C}(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N)$ has a positive global maximum. By using a change of variable, we obtain the existence and concentration behavior of ground state solutions for this problem and establish a phenomenon of exponential decay.

Key words: generalized quasilinear Schrödinger equation, ground state solutions, existence, concentration behavior