V monografii vypolneno postroenie nelineynykh uravneniy v chastnykh proizvodnykh, imeyushchikh paru Laksa. V kachestve operatorov rasseyaniya ispol'zovany operatory Diraka i nesamosopryazhennye operatory s matrichnymi koeffitsientami 2kh2. K poluchennym uravneniyam primeneny nekotorye sposoby nakhozhdeniya tochnykh resheniy, otnosyashchiesya k metodam solitonnoy matematiki: nakhozhdenie avtomodel'nykh resheniy v vide begushchikh voln; metod Khiroty; svoystvo Penleve; preobrazovanie Beklunda i dr. Kniga prednaznachena studentam, aspirantam, nauchnym rabotnikam i spetsialistam, zanimayushchikhsya problemami, svyazannymi s integriruemost'yu nelineynykh uravneniy v chastnykh proizvodnykh.
