In this paper, we study the approximate analytical solutions for bound states of the l-wave Klein-Gordon equation with a position-dependent mass subjected to a hyperbolic cotangent vector potential by using the concept of the supersymmetric quantum mechanics approach. Within the framework of the proper approximation of the centrifugal term, we obtain the bound state energy eigenvalues and the corresponding normalized wavefunctions written down in terms of the Jacobi polynomials. Furthermore, it is found that the solutions in the case of constant mass for nonzero l-values are identical to the ones obtained in the literature. Among these cases, Hulthén potential, Coulomb potential, and nonrelativistic limit are discussed

在本文中，我们利用超对​​称量子力学方法的概念，研究了具有双曲余切矢量势的位置相关质量的l波 Klein-Gordon 方程的束缚态的近似解析解。在离心项的适当近似的框架内，我们获得了束缚态能量特征值和以雅可比多项式形式写出的相应归一化波函数。此外，发现非零l值的恒定质量情况下的解与文献中获得的解相同。在这些情况下，讨论了 Hulthén 势、库仑势和非相对论极限