Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation

Xie, Wei-Kang; Fan, Fang-Cheng

doi:10.1007/s00033-023-02082-x

Z. Angew. Math. Phys.

2023

DOI: 10.1007/s00033-023-02082-x

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Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation

Wei-Kang Xie,

Fang-Cheng Fan

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2024

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Cited by 4 publications

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Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Zhou,

Tian

2024

Qual. Theory Dyn. Syst.

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Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Zhou,

Tian

2024

Qual. Theory Dyn. Syst.

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N-Soliton and Other Analytic Solutions for a ($$3 + 1$$)-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves

Shan,

Tian,

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et al. 2024

Qual. Theory Dyn. Syst.

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Breathers and interaction phenomena on the non-constant backgrounds for a (3+1)-dimensional generalized shallow water wave equation with variable coefficients

Lv,

An,

Zhang

et al. 2024

Physics Letters A

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Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation

Cited by 4 publications

References 68 publications

Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

N-Soliton and Other Analytic Solutions for a ($$3 + 1$$)-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves

Breathers and interaction phenomena on the non-constant backgrounds for a (3+1)-dimensional generalized shallow water wave equation with variable coefficients

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