On the integrability of the (1+1)‐dimensional and (2+1)‐dimensional Ito equations
From MaRDI portal
Publication:5257909
DOI10.1002/mma.3056zbMath1318.37023OpenAlexW2073480439MaRDI QIDQ5257909
Publication date: 24 June 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3056
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
High-dimensional nonlinear wave transitions and their mechanisms ⋮ New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials ⋮ New interaction solutions to (1+1)-dimensional Ito equation
Cites Work
- Unnamed Item
- Trilinear equations, Bell polynomials, and resonant solutions
- The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
- New exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equation
- Soliton solutions to a higher order Itô equation: Pfaffian technique
- Extend three-wave method for the \((1+2)\)-dimensional Itô equation
- Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations
- New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique
- On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations
- Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
- Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation
- New solutions for \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equations
- Bilinear equations and resonant solutions characterized by Bell polynomials
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Super extension of Bell polynomials with applications to supersymmetric equations
- Integrability of the modified generalised Vakhnenko equation
- Bell-Polynomial Approach and Integrability for the Coupled Gross-Pitaevskii Equations in Bose-Einstein Condensates
- Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
- On the combinatorics of the HirotaD-operators
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A variety of distinct kinds of multiple soliton solutions for a ( 3 + 1)‐dimensional nonlinear evolution equation
- Bell polynomial approach to an extended Korteweg–de Vries equation
- N -Soliton-like Solution of Ito Equation
- Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations
- The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
- Commutativity of Pfaffianization and Bäcklund transformations: the KP equation