Extend three-wave method for the \((1+2)\)-dimensional Itô equation
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Publication:606772
DOI10.1016/j.amc.2010.06.059zbMath1200.35280OpenAlexW2053320968MaRDI QIDQ606772
Zhengde Dai, Chuanjian Wang, Zhanhui Zhao
Publication date: 18 November 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.059
Hirota bilinear methodItô equationdoubly periodic solitary waveextended three-wave methodthree-wave solution
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations
- Doubly periodic wave solution to two-dimensional diffractive-diffusive Ginzburg-Landau equation
- Homoclinic breather-wave solutions for sine-Gordon equation
- Generalized extended tanh-function method and its application
- New exact solitary-wave special solutions for the nonlinear dispersive \(K(m,n)\) equations
- Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations
- New traveling waves solutions to generalized Kaup-Kupershmidt and Ito equations
- Breather-type soliton and two-soliton solutions for modified Korteweg-de Vries equation
- Exact three-wave solution for higher dimensional KdV-type equation
- The correct traveling wave solutions for the high-order dispersive nonlinear Schrödinger equation
- Exact three-wave solutions for the KP equation
- Explicit homoclinic tube solutions and chaos for Zakharov system with periodic boundary
- Applications of HTA and EHTA to YTSF equation
- Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique
- Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
- On the extended applications of homogeneous balance method
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- On a further extended tanh method
- On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds
- Exact solutions for a compound KdV-Burgers equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
