Abstract:
For the Oskolkov–Benjamin–Bona–Mahony–Burgers equation with a linear source, families of exact solutions expressed in terms of elementary and special functions are constructed. It is shown that these families contain solutions growing to infinity on finite time intervals, bounded on any finite time interval (but not globally), and bounded globally in time.
Key words:Oskolkov–Benjamin–Bona–Mahony–Burgers equation, Sobolev-type equations, exact solutions, blowup of solutions.
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