On multisoliton solutions of the constant astigmatism equation
Abstract
We introduce an algebraic formula producing infinitely many exact solutions of the constant astigmatism equation zyy + (1/z)xx + 2 = 0 from a given seed. A construction of corresponding surfaces of constant astigmatism is then a matter of routine. As a special case, we consider multisoliton solutions of the constant astigmatism equation defined as counterparts of famous multisoliton solutions of the sine-Gordon equation. A few particular examples are surveyed as well.
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