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We study the fundamental lattice solitons of the discrete nonlinearSchr\"{o}dinger (DNLS) equation and their stability via a variational method.Using a Gaussian ansatz and comparing the results with numerical computations,we report a novel observation of false instabilities. Comparing withestablished results and using Vakhitov-Kolokolov criterion, we deduce that theinstabilities are due to the ansatz. In the context of using the same type ofansatzs, we provide a remedy by employing multiple Gaussian functions. Theresults show that the higher the number of Gaussian function used, the betterthe solution approximation.

Variational approximations using Gaussian ansatz, false instability, and its remedy in nonlinear Schr\"{o}dinger lattices