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Based on the coupled nonlinear volatility and option pricing model, we introduce a new external potential on the option price to a coupled nonlinear Schrödinger model. We derive the numerical solutions and the rogue wave solutions to explore the influence of external potential on option price fluctuating and financial rogue waves. The results provide more possibility of option pricing with the external potential in line with financial markets.
Liu et al. (Mon,) studied this question.