Bäcklund transformation, infinitely-many conservation laws, solitary and periodic waves of an extended (3 + 1)-dimensional Jimbo–Miwa equation with time-dependent coefficients
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Publication:5104060
DOI10.1080/17455030.2017.1366085OpenAlexW2752674022MaRDI QIDQ5104060
Xin-Yi Gao, Gao-Fu Deng, Yi-Tian Gao
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2017.1366085
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Cites Work
- Unnamed Item
- Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
- Multiple-soliton solutions for extended \((3 + 1)\)-dimensional Jimbo-Miwa equations
- Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients
- Wronskian determinant solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation
- Soliton equations and simple combinatorics
- Variable separation solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation
- Exponential polynomials
- New solutions of the \(3+1\) dimensional Jimbo-Miwa equation
- Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium
- Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
- Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Symmetry preserving parameterization schemes
- Extended Galilean transformations for high-order systems in two integrable hierarchies
- On the combinatorics of the HirotaD-operators
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- The Painlevé property for partial differential equations
- Vector bright soliton behaviors of the coupled higher-order nonlinear Schrödinger system in the birefringent or two-mode fiber
- Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions
- Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
- Supersymmetric modified Korteweg–de Vries equation: bilinear approach
