Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics
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DOI: 10.1080/00207160.2020.1805107
Abstract: Investigation is conducted on a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics. By virtue of the homoclinic-test, ansatz and polynomial-expansion methods, we construct the breather and lump solutions, shock wave solutions and… read more here.
Keywords: breather lump; wave solutions; lump shock; physics ... See more keywords
Collision dynamics between breather and lump-type localized waves in the (3+1)-dimensional shallow water wave equation
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DOI: 10.1088/1402-4896/ad7422
Abstract: In this paper, the collision dynamics of breather and lump-type localized waves in the (3+1)-dimensional shallow water wave equation are investigated in detail. Firstly, the auto-Bäcklund transformation and the linear representation of the (3+1)-dimensional shallow… read more here.
Keywords: shallow water; breather lump; water wave; localized waves ... See more keywords