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In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, J. Com. Appl. Math. 233 (2009) 97--102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and conseque...
In this work an extended Jacobian elliptic function method is proposed and applied to the generalized shallow water wave equation. We systematically investigate to classify new exact travelling wave s...
We demonstrate that all exact solutions of the Riccati equation by Dai andWang [C.-Q. Dai, Y.-Y.Wang, Phys. Lett. A 373 (2009) 181-187] are not new and cannot be new because the general solution of th...
2006Vol.46No.3pp.397-402DOI: New Exact Solutions to Long-Short Wave Interaction Equations TIAN Ying-Hui,1 CHEN Han-Lin,1 and LIU Xi-Qiang2 1 School of Mathematics and Ph...
2006Vol.46No.3pp.393-396DOI: New Exact Solutions to (2+1)-Dimensional Variable Coefficients Broer-Kaup Equations ZHU Jia-Min1,2 and MA Zheng-Yi1,2 1 Department of Physic...
2006Vol.45No.5pp.777-780DOI: New Exact Solutions of Multi-component mKdV Equation YE Cai-Er Department of Mathematics, Zhejiang Forestry College, Lin'an 311300, China ...
2006Vol.45No.5pp.769-776DOI: New Exact Solutions for Konopelchenko-Dubrovsky Equation Using an Extended Riccati Equation Rational Expansion Method SONG Li-Na and ZHANG Hong-Qing ...
2006Vol.45No.5pp.790-792DOI: Some New Exact Solutions of mKdV Equations GONG Lun-Xun, ZHENG Qiang, and YUE Ping School of Science, Guizhou Normal University, Guiyang 550...
2006Vol.45No.2pp.207-210DOI: New Exact Solutions to Dispersive Long-Wave Equations in (2+1)-Dimensional Space TIAN Ying-Hui,1 CHEN Han-Lin,1 and LIU Xi-Qiang2 1 School o...
2006Vol.45No.3pp.487-492DOI: New Exact Solutions and Conservation Laws to (3+1)-Dimensional Potential-YTSF Equation ZHANG Li-Hua and LIU Xi-Qiang School of Mathematical ...
2003Vol.40No.3pp.257-258DOI: New Bäcklund Transformation and New Exact Solutions to (2+1)-Dimensional KdV Equation PENG Yan-Ze Laboratory of Pure and Applied Mathem...
2005Vol.44No.5pp.807-809DOI: Two Classes of New Exact Solutions to (2+1)-Dimensional Breaking Soliton Equation PENG Yan-Ze1 and E.V. Krishnan2 1 Department of Mathematic...
2003Vol.40No.2pp.143-146DOI: Some New Exact Solutions to the Dispersive Long-Wave Equation in (2+1)-Dimensional Spaces LI De-Sheng1,2 and ZHANG Hong-Qing1 1 Department o...
2005Vol.44No.4pp.604-608DOI: New Exact Solutions of the N-Coupled Nonlinear SchrÖdinger System SHEN Shou-Feng,1 ZHANG Jun,1 YE Cai-Er,2 and PAN Zu-Liang3 1 Departm...

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