New patterns of localized excitations in (2+1)-dimensions: the fifth-order asymmetric Nizhnik-Novikov-Veselov equation

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) Soliton solutions (35C08)

Cites Work

Trilinearization and localized coherent structures and periodic solutions for the \((2 + 1)\) dimensional K-dV and NNV equations
Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
New exact solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
\(M\)-lump and hybrid solutions of a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation
Fusion and fission phenomena for \(( 2 + 1 )\)-dimensional fifth-order KdV system
New variable separation solutions and wave interactions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
Breather waves and rational solutions in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
Infinitely many Lax pairs and symmetry constraints of the KP equation
Generalized symmetries and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">w</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>algebras in three-dimensional Toda field theory
On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
A wave equation in 2+1: Painleve analysis and solutions
Rational and semi-rational solutions to the asymmetric Nizhnik–Novikov–Veselov system
\(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation
Breather wave solutions on the Weierstrass elliptic periodic background for the \((2 + 1)\)-dimensional generalized variable-coefficient KdV equation

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