We use the ansatz method to obtain the symmetric and antisymmetric solutions of a
hyperbolic double‐well potential by solving the Heun differential equation. The Shannon …

In this work a new scheme is proposed to study the exact solutions of another class of
hyperbolic potentials U p. We first obtain two linearly dependent eigenfunctions …

We find that the analytical solutions to quantum system with a quartic potential V (x)= ax 2+
bx 4 (arbitrary a and b> 0 are real numbers) are given by the triconfluent Heun functions HT …

We propose a new scheme to study the exact solutions of a class of hyperbolic potential
well. We first apply different forms of function transformation and variable substitution to …

In this present study, we have investigated theoretically the effect of structure parameters (η
and κ) and high-frequency intense laser field (ILF) on the linear and nonlinear optical …

We solve the quantum system with the symmetric Razavy cosine type potential and find that
its exact solutions are given by the confluent Heun function. The eigenvalues are calculated …

In this work, we study the quantum system with the symmetric Razavy potential and show
how to find its exact solutions. We find that the solutions are given by the confluent Heun …

We study quantum system with a symmetric sine hyperbolic type potential V (x)= V_ 0\sinh^
4 (x)-k\sinh^ 2 (x) V (x)= V 0 sinh 4 (x)-k sinh 2 (x), which becomes single or double well …

The analytical solutions of an asymmetric double well potential V (x)= ax 2-bx 3+ cx 4 are
found to be a triconfluent Heun function HT (α, β, γ; z). It should be emphasized that these …

We present exact solutions of solitonic profile mass Schrödinger equation with a modified
Pöschl–Teller potential. We find that the solutions can be expressed analytically in terms of …