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«EXOTIC» MODELS OF HIGH-INTENSITY WAVE PHYSICS: LINEARIZING EQUATIONS, EXACTLY SOLVABLE PROBLEMS AND NON-ANALYTIC NONLINEARITIES

Topic and aim. A brief review of publications and discussion of some mathematical models are presented, which, in the author’s opinion, are well-known only to a few specialists. These models are not well studied, despite their universality and practical significance. Since the results were published at different times and in different journals, it is useful to summarize them in one article.