A subset of the exact analytical traveling-wave solutions of the equation iΨₜ+Ψzz=a₁{Ψ}|{Ψ}|²+a₂{Ψ}|{Ψ}|⁴ is presented in compact form. The solutions are expressed in terms of Weierstrass's elliptic function {} and include periodic and solitary-wave-like solutions. The algebraic conditions for both cases are given. Examples are presented for simple cases. {} 1996 The American Physical Society.
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H. W. Schürmann (1996) studied this question.
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