Wronskian and linear superposition solutions to generalized KP and BKP equations
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Publication:1749860
DOI10.1007/s11071-017-3666-zzbMath1390.37111OpenAlexW2735204531MaRDI QIDQ1749860
Publication date: 17 May 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3666-z
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (5)
Framework of extended BKP equations possessing N‐wave solutions in (2+1)‐dimensions ⋮ A new approach to investigate the nonlinear dynamics in a \((3 + 1)\)-dimensional nonlinear evolution equation via Wronskian condition with a free function ⋮ Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation ⋮ Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation ⋮ Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation
Cites Work
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- A note on rational solutions to a Hirota-Satsuma-like equation
- Soliton solution to BKP equation in Wronskian form
- Multiple-soliton solutions for extended \((3 + 1)\)-dimensional Jimbo-Miwa equations
- Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- Rational and complexiton solutions of the \((3+1)\)-dimensional KP equation
- Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart
- Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation
- Hirota bilinear equations with linear subspaces of solutions
- Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation
- A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
- Resonant behavior of multiple wave solutions to a Hirota bilinear equation
- Wronskian determinant solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation
- Linear superposition principle applying to Hirota bilinear equations
- Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
- Positons, negatons and complexitons of the mKdV equation with non-uniformity terms
- Complexiton solutions to integrable equations
- Complexiton solutions to the Korteweg-de Vries equation
- Variants of a (3+1)-dimensional generalized BKP equation: multiple-front waves solutions
- Rational solutions of the Toda lattice equation in Casoratian form
- Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation
- Analytical study on a two-dimensional Korteweg-de Vries model with bilinear representation, Bäcklund transformation and soliton solutions
- Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation
- Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order
- Lump solutions to the Kadomtsev-Petviashvili equation
- Applications of linear superposition principle to resonant solitons and complexitons
- Bilinear equations and resonant solutions characterized by Bell polynomials
- New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model
- Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
- Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
- Distinct kinds of multiple-soliton solutions for a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation
- Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions
- Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
- Classifying bilinear differential equations by linear superposition principle
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