Lie symmetry analysis, exact solutions, optimal system and conservation laws for variable-coefficients Kundu–Mukherjee–Nasker equation

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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On bilinear representations and infinite conservation laws of a nonlinear variable-coefficient equation
A new conservation theorem
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation
Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation
Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation
Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
On the existence of solution, Lie symmetry analysis and conservation law of magnetohydrodynamic equations
Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations
Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
The extended hyperbolic function method and exact solutions of the long-short wave resonance equations
Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
Symmetry reductions, exact solutions, stability analysis and conservation laws of time-fractional Sharma–Tasso–Olever equation
Symmetry properties, similarity reduction and exact solutions of fractional Boussinesq equation