Mixed lump and soliton solutions for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
DOI10.3934/math.2020080zbMath1484.35338OpenAlexW3000195945MaRDI QIDQ2132862
Publication date: 28 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020080
asymptotic behaviorbilinear transformation methodgeneralized \((3+1)\)-dimensional Kadomtsev-Petviashvili equationfusion and fissionmixed lump and soliton solution
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
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Cites Work
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- Interaction between kink solitary wave and rogue wave for \((2+1)\)-dimensional Burgers equation
- Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
- Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a \((2 + 1)\)-dimensional Korteweg-de Vries equation
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- Lump and lump-kink solutions of the \((3+1)\)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations
- New exact traveling wave solutions of the \((3 + 1)\) dimensional Kadomtsev-Petviashvili (KP) equation
- Comment on: New exact traveling wave solutions of the \((3 + 1)\)-dimensional Kadomtsev-Petviashvili (KP) equation
- Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
- State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
- The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation
- Solitons. Mathematical methods for physicists
- Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- The wrinkle-like N-solitons for the thermophoretic motion equation through graphene sheets
- Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
- Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior
- Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction
- Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers
- Rogue wave and multiple lump solutions of the \((2+1)\)-dimensional Benjamin-Ono equation in fluid mechanics
- Lump solutions to the Kadomtsev-Petviashvili equation
- Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
- On the evolution of packets of water waves
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Extreme Ocean Waves
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