由各种实非线性发展方程的解系统构造宇称-时间（$\cal PT$）对称和非$\cal PT$对称复势
A systematic construction of parity-time ($\cal PT$)-symmetric and non-$\cal PT$-symmetric complex potentials from the solutions of various real nonlinear evolution equations
摘要：
利用sine-Gordon（sG）方程、修正的Korteweg-de Vries（mKdV）方程、组合mKdV-sG方程和Gardner方程四个可积实非线性发展方程（NLEE）的孤子解和周期解，系统地构造了稳态薛定谔方程的一类包含宇称时间（$\cal PT$）对称势的复势.这些潜力包括扭结，呼吸，bion，椭圆bion，周期和孤立子的潜力，明确地从各种相应的解决方案的NLEE构建。我们证明了从应用的角度来看，确定的复杂的潜力和潜力的石墨烯模型之间的相关性。
英文摘要：
We systematically construct a distinct class of complex potentials including parity-time ($\cal PT$) symmetric potentials for the stationary Schrödinger equation by using the soliton and periodic solutions of the four integrable real nonlinear evolution equations (NLEEs) namely the sine-Gordon (sG) equation, the modified Korteweg-de Vries (mKdV) equation, combined mKdV-sG equation and the Gardner equation. These potentials comprise of kink, breather, bion, elliptic bion, periodic and soliton potentials which are explicitly constructed from the various respective solutions of the NLEEs. We demonstrate the relevance between the identified complex potentials and the potential of the graphene model from an application point of view.
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