TY - JOUR
T1 - Soliton molecules, multi-breathers and dynamical behaviors of the Lakshmanan–Porsezian–Daniel equation
AU - Xiong, Zuoxin
AU - Ren, Bo
AU - Wang, Wanli
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2023/11
Y1 - 2023/11
N2 - In this work, we investigate the Lakshmanan–Porsezian–Daniel (LPD) equation with high-order nonlinear and dispersion terms which can describe an inhomogeneous one-dimensional anisotropic Heisenberg ferromagnetic spin chain and alpha helical protein. With the aid of auxiliary function, the bilinear form of the LPD equation is constructed. Multi-soliton solutions are obtained by solving the corresponding bilinear form. Multi-breather solutions are presented by assuming the complex conjugation relations on the parameters of the multi-solitons. The dynamics of one breather, two breathers and their interactions are constructed by selecting the appropriate parameters. The strength of the high-order nonlinear and dispersion effects plays a key role in the breather solutions. Soliton molecule, the breather–soliton molecule and the breather molecule are discovered by applying the velocity resonance conditions. The interactions among the soliton molecules, which could be observed in marine and oceanic waters, are investigated through numerical simulation.
AB - In this work, we investigate the Lakshmanan–Porsezian–Daniel (LPD) equation with high-order nonlinear and dispersion terms which can describe an inhomogeneous one-dimensional anisotropic Heisenberg ferromagnetic spin chain and alpha helical protein. With the aid of auxiliary function, the bilinear form of the LPD equation is constructed. Multi-soliton solutions are obtained by solving the corresponding bilinear form. Multi-breather solutions are presented by assuming the complex conjugation relations on the parameters of the multi-solitons. The dynamics of one breather, two breathers and their interactions are constructed by selecting the appropriate parameters. The strength of the high-order nonlinear and dispersion effects plays a key role in the breather solutions. Soliton molecule, the breather–soliton molecule and the breather molecule are discovered by applying the velocity resonance conditions. The interactions among the soliton molecules, which could be observed in marine and oceanic waters, are investigated through numerical simulation.
UR - http://www.scopus.com/inward/record.url?scp=85178188918&partnerID=8YFLogxK
U2 - 10.1140/epjp/s13360-023-04682-y
DO - 10.1140/epjp/s13360-023-04682-y
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AN - SCOPUS:85178188918
SN - 2190-5444
VL - 138
JO - European Physical Journal Plus
JF - European Physical Journal Plus
IS - 11
M1 - 1051
ER -