The generalized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions
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Publication:2006665
DOI10.1016/j.camwa.2016.02.005zbMath1443.35120OpenAlexW2274819749MaRDI QIDQ2006665
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.02.005
multiple wave solutionsgeneralized \((1+1)\)-dimensional and \((2+1)\)-dimensional Ito equationsmultiple exp-function algorithm
Related Items (21)
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Cites Work
- Unnamed Item
- Madelung fluid description on a generalized mixed nonlinear Schrödinger equation
- Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- A direct bilinear Bäcklund transformation of a \((2+1)\)-dimensional Korteweg-de Vries-like model
- 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
- New solitons and kink solutions for the Gardner equation
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Multisoliton Solutions of the (3+1)-Dimensional Nizhnik–Novikov–Veselov Equation
- Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model
- A multiple exp-function method for nonlinear differential equations and its application
- N-soliton solutions for the Vakhnenko equation and its generalized forms
- A new fifth-order nonlinear integrable equation: multiple soliton solutions
- SOLITON SOLUTIONS FOR SEVENTH-ORDER KAWAHARA EQUATION WITH TIME-DEPENDENT COEFFICIENTS
- A new generalized fifth-order nonlinear integrable equation
- Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation
- High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra
- High-dimensional Virasoro integrable models and exact solutions
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