Abstract
Abstract Exact solutions of nonlinear models might explain real physical, engineering and biophysical problems, including blood pressure waves, α -helical protein, matter wave and hardening spring effect, and so on. We re-study the breaking soliton model and obtain eleven kinds of variable separation solution by means of the improved tanh-function method with three different ansatz, that is, positive-power ansatz, radical sign combined ansatz, and positive and negative power-symmetric ansatz. By careful analysis of these exact solutions, we find that these seemly independent variable separation solutions actually depend on each other. Therefore, different ansatz of improved tanh-function method are equivalent.
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