Inverse Scattering Method via Riemann–Hilbert Problem for Nonlinear Klein–Gordon Equation Coupled with a Scalar Field
Ismailov M.I. Sabaz C.
October 2023Physical Society of Japan
Journal of the Physical Society of Japan
2023#92Issue 10
A class of negative order Ablowitz–Kaup–Newell–Segur nonlinear evolution equations are obtained by applying the Lax hierarchy of the first order linear system of three equations. The inverse scattering problem on the whole axis is examined in the case where linear system becomes the classical Zakharov–Shabat system consists of two equations and admits a real anti-symmetric potential. Referring to these results, the N-soliton solutions for the integro-differential version of the nonlinear Klein–Gordon equation coupled with a scalar field are obtained by using the inverse scattering method via the Riemann–Hilbert problem.
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Department of Mathematics, Gebze Technical University, Kocaeli, Gebze, 41400, Turkey
Department of Mathematics, Khazar University, Baku, 1096, Azerbaijan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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