New interaction of high-order breather solutions, lump solutions and mixed solutions for (3+1)-dimensional Hirota–Satsuma–Ito-like equation
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DOI: 10.1007/s11071-021-06895-1
Abstract: Under investigation in this letter is an (3+1)-dimensional Hirota–Satsuma–Ito-like equation, which provide strong support for studying the dynamic behavior of nonlinear waves. Based on a special Cole–Hopf transformation and Hirota bilinear method, the bilinear form… read more here.
Keywords: solutions lump; order breather; lump solutions; equation ... See more keywords
Variational methods for breather solutions of nonlinear wave equations
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DOI: 10.1088/1361-6544/abed38
Abstract: We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ttU−ΔU=Q(x)|U|p−2UonT×RN with suitable N ⩾ 2, p > 2 and localized nonnegative Q. These solutions are obtained from critical points of a… read more here.
Keywords: solutions nonlinear; methods breather; variational methods; breather solutions ... See more keywords