Decomposition solutions and Bäcklund transformations of the B-type and C-type Kadomtsev-Petviashvili equations

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
Group theoretical nature of Bäcklund transformations
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
Two new applications of the homogeneous balance method
Nonlinear superposition formula for the Kaup-Kuperschmidt partial differential equation
Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation
New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV-Calogero-Bogoyavlenkskii-Schiff equation
Relationships among inverse method, Bäcklund transformation and an infinite number of conservation laws.
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A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
Pseudopotentials, Lax equations and Backlund transformations for nonlinear evolution equations
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The Painlevé property for partial differential equations
On classes of integrable systems and the Painlevé property
Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
Formal variable separation approach for nonintegrable models
Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation
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Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations

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