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TO THE EDITOR—On 20 May 2013, the world’s first human-infected case of H6N1 bird flu was reported in Taiwan. A novel avian-origin influenza A(H6N1) virus was confirmed by the National Influenza Center, Centers for Disease Control, Taiwan, and the patient has already recovered. The H6 subtype influenza viruses were first identified in turkeys in 1965, and(More)
Modern nonlinear wave theory is a rapidly developing area which includes a large variety of sophisticated ideas and powerful methods, as well as a vast number of important real-life applications. The book by Jianke Yang (2010) entitled ‘Nonlinear Waves in Integrable and Nonintegrable Systems’ will help an interested reader to discover many diverse aspects(More)
The Petviashvili’s iteration method has been known as a rapidly converging numerical algorithm for obtaining fundamental solitary wave solutions of stationary scalar nonlinear wave equations with power-law nonlinearity: Mu + u = 0, where M is a positive definite self-adjoint operator and p = const. In this paper, we propose a systematic generalization of(More)
It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton’s frequency (spatial or temporal) must not fall into the continuous spectrum of radiation modes. However, this is not always true. We present a new class of codimension-one solitons (i.e., those existing at isolated frequency values)(More)
The effect of small perturbations on the collision of vector solitons in the Manakov equations is studied in this paper. The evolution equations for the soliton parameters ~amplitude, velocity, polarization, position, and phases! throughout collision are derived. The method is based on the completeness of the bounded eigenstates of the associated linear(More)
In this paper, the Newton-conjugate-gradient methods are developed for solitary wave computations. These methods are based on Newton iterations, coupled with conjugategradient iterations to solve the resulting linear Newton-correction equation. When the linearization operator is self-adjoint, the preconditioned conjugate-gradient method is proposed to solve(More)